CBSE Class 10 Exam Info 2027, Syllabus, Date Sheet and Practice

Class 10

#quadratic-roots

If the roots of a quadratic equation are equal, then its discriminant is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the discriminant of a quadratic equation?

For $a x 2 + b x + c = 0$ , the discriminant is $b 2 - 4 a c$ .

When are the roots of a quadratic equation equal?

The roots are equal when the discriminant is exactly equal to 0.

#ap-nth-term

In an arithmetic progression, the difference between two consecutive terms is called:

Select an option first. The solution will unlock after your attempt.

FAQ

What is common difference in AP?

It is the fixed difference between any two consecutive terms of an arithmetic progression.

#polynomial-zeros

For $p (x) = x 2 - 5 x + 6$ , the sum of zeros is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the sum of zeros of $ax^2 + bx + c$?

The sum of zeros is $- b a$ .

#distance-formula

In the diagram, the distance AB is found using:

Class 10 Maths coordinate geometry diagram showing points A and B connected by a distance line — Coordinate geometry diagram for deriving the distance between two points.

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FAQ

Which theorem is used in the distance formula?

The distance formula is derived using Pythagoras theorem on a right triangle formed on the coordinate plane.

#euclid-lemma

According to Euclid's division lemma, for positive integers $a$ and $b$ , we can write:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the condition on remainder in Euclid's division lemma?

The remainder $r$ must satisfy $0 \leq r < b$ .

#hcf-lcm

For two positive integers $a$ and $b$ , the relation between HCF and LCM is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the HCF-LCM product relation?

For two numbers $a$ and $b$ , $H C F \times L C M = a \times b$ .

#prime-factorisation

The prime factorisation of $180$ is:

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FAQ

Why is prime factorisation useful?

It helps find HCF, LCM, and proves properties of numbers.

#irrational-root

Which of the following is irrational?

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FAQ

Is every square root irrational?

No. Square roots of perfect squares are rational.

#decimal-termination

The decimal expansion of $13125$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a rational number have terminating decimal expansion?

After simplification, denominator should be of the form $2 m 5 n$ .

#polynomial-degree

The degree of $7 x 3 - 2 x 2 + 5$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the degree of a polynomial?

It is the highest power of the variable with non-zero coefficient.

#polynomial-zero-value

If $p (x) = x - 4$ , then the zero of $p (x)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is a zero of a polynomial?

A zero is a value of $x$ for which $p (x) = 0$ .

#product-of-zeros

For $2 x 2 - 7 x + 3$ , the product of zeros is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is product of zeros of $ax^2+bx+c$?

The product of zeros is $c a$ .

#graph-zeros

The number of zeros of a polynomial is equal to the number of points where its graph intersects:

Select an option first. The solution will unlock after your attempt.

FAQ

How are zeros seen on a graph?

Zeros are the X-coordinates of points where the graph cuts or touches the X-axis.

#linear-unique-solution

A pair of linear equations has a unique solution when:

Select an option first. The solution will unlock after your attempt.

FAQ

What does unique solution mean graphically?

It means the two lines intersect at exactly one point.

#linear-no-solution

If two lines are parallel and distinct, the pair of equations has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a pair of linear equations have no solution?

When the two lines are parallel and distinct.

#elimination-method

For equations $x + y = 9$ and $x - y = 1$ , the value of $x$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why does elimination work here?

Adding the equations cancels $y$ and gives one equation in $x$ .

#linear-ratio-condition

For $a 1 x + b 1 y + c 1 = 0$ and $a 2 x + b 2 y + c 2 = 0$ , no solution occurs when:

Select an option first. The solution will unlock after your attempt.

FAQ

Which ratio condition gives parallel distinct lines?

$a 1 a 2 = b 1 b 2 \neq c 1 c 2$ gives no solution.

#quadratic-standard-form

The standard form of a quadratic equation is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why must $a\ne0$ in a quadratic equation?

If $a = 0$ , the equation becomes linear, not quadratic.

#quadratic-factorisation

The roots of $x 2 - 5 x + 6 = 0$ are:

Select an option first. The solution will unlock after your attempt.

FAQ

How do we solve by factorisation?

Split the middle term and write the equation as product of two factors equal to zero.

#positive-discriminant

If $D = b 2 - 4 a c > 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

What does positive discriminant mean?

It means two distinct real roots.

#no-real-roots

If $b 2 - 4 a c < 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a quadratic equation have no real roots?

When the discriminant $b 2 - 4 a c$ is less than $0$ .

#ap-formula

The $n$ th term of an AP is:

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FAQ

Why is it $(n-1)d$ in AP nth term?

The first term has zero common differences added, so the $n$ th term has $(n - 1)$ differences.

#ap-sum-formula

The sum of first $n$ terms of an AP is:

Select an option first. The solution will unlock after your attempt.

FAQ

Which formula gives sum of first $n$ AP terms?

$S n = n 2 [2 a + (n - 1) d]$ gives the sum.

#ap-missing-term

In the AP $3, 7, 11, 15, . . .$ , the common difference is:

Select an option first. The solution will unlock after your attempt.

FAQ

How is common difference found?

Subtract any term from the next term: $d = a 2 - a 1$ .

#ap-term-check

Which term of the AP $5, 8, 11, . . .$ is $50$ ?

Select an option first. The solution will unlock after your attempt.

FAQ

How do we check position of a term in AP?

Put the term equal to $a + (n - 1) d$ and solve for $n$ .

#similarity-criterion

If two triangles have corresponding angles equal, they are similar by:

Select an option first. The solution will unlock after your attempt.

FAQ

Does AAA prove congruence?

No. AAA proves similarity, not necessarily congruence.

#basic-proportionality

If a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides:

Select an option first. The solution will unlock after your attempt.

FAQ

What does BPT state?

A line parallel to one side of a triangle divides the other two sides in the same ratio.

#pythagoras-theorem

In a right triangle with legs $6$ cm and $8$ cm, the hypotenuse is:

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FAQ

When can Pythagoras theorem be used?

It can be used only in a right triangle.

#similar-triangles-area

If two similar triangles have corresponding sides in ratio $2 : 3$ , their areas are in ratio:

Select an option first. The solution will unlock after your attempt.

FAQ

How are areas of similar triangles related?

Their areas are proportional to the squares of corresponding sides.

#midpoint-formula

The midpoint of $(2, 4)$ and $(6, 8)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is midpoint formula?

Midpoint is $\leq f t (x 1 + x 2 2, y 1 + y 2 2)$ .

#section-formula

The point dividing $(0, 0)$ and $(6, 9)$ internally in ratio $1 : 2$ is:

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FAQ

What is internal section formula used for?

It finds a point dividing a line segment internally in a given ratio.

#coordinate-area

The area of triangle with vertices $(0, 0)$ , $(4, 0)$ and $(0, 3)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is triangle area formula?

Area is $12 \times b a s e \times h e i g h t$ .

#sin-ratio

In a right triangle, $s i n θ$ equals:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin\theta$ in a right triangle?

$s i n θ = o p p o s i t e h y p o t e n u s e$ .

#trig-identity

Which identity is correct?

Select an option first. The solution will unlock after your attempt.

FAQ

What is the main trigonometric identity?

$s i n 2 θ + c o s 2 θ = 1$ .

#standard-trig-value

The value of $s i n 30 °$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin30^\circ$?

$s i n 30 ° = 12$ .

#complementary-trig

$s i n (90 ° - θ)$ is equal to:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin(90^\circ-\theta)$?

It equals $c o s θ$ .

#height-distance

The angle of elevation is measured from the:

Select an option first. The solution will unlock after your attempt.

FAQ

What is angle of elevation?

It is the angle made with the horizontal when the observer looks upward.

#tan-height

If a pole of height $h$ casts a shadow of $10$ m and angle of elevation is $45 °$ , then $h$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why is tangent used in height and shadow questions?

Because tangent connects opposite side and adjacent side: $t a n θ = h e i g h t s h a d o w$ .

#tangent-radius

A tangent to a circle is perpendicular to the radius through the point of:

Select an option first. The solution will unlock after your attempt.

FAQ

What is tangent-radius theorem?

A tangent is perpendicular to the radius at the point of contact.

#equal-tangents

Tangents drawn from an external point to a circle are:

Select an option first. The solution will unlock after your attempt.

FAQ

What is true about tangents from an external point?

They are equal in length.

#sector-area

Area of a sector with angle $θ$ and radius $r$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

How is sector area calculated?

Sector area is $θ 360 ° π r 2$ .

#cylinder-curved-area

The curved surface area of a cylinder is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is curved surface area of cylinder?

It is $2 π r h$ .

#cone-volume

The volume of a cone is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is volume of cone?

Volume of cone is $13 π r 2 h$ .

#sphere-volume

The volume of a sphere of radius $r$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is volume of sphere?

It is $43 π r 3$ .

#mean-formula

Mean of observations is calculated as:

Select an option first. The solution will unlock after your attempt.

FAQ

What is arithmetic mean?

Arithmetic mean is total of observations divided by number of observations.

#median

The median is the:

Select an option first. The solution will unlock after your attempt.

FAQ

What is median?

Median is the middle value of arranged data.

#mode

The mode of $2, 3, 3, 4, 5, 5, 5, 6$ is:

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FAQ

What is mode?

Mode is the observation with maximum frequency.

#probability-basic

Probability of an event is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is basic probability formula?

$P(E)=favourable\ outcomestotal\ outcomes$ .

#coin-probability

When one fair coin is tossed, probability of getting a head is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is probability of head in one coin toss?

It is $12$ for a fair coin.

#die-probability

When a fair die is thrown, probability of getting an even number is:

Select an option first. The solution will unlock after your attempt.

FAQ

How many even outcomes are there on a die?

There are three even outcomes: $2, 4, 6$ .

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Class 10

#quadratic-roots

If the roots of a quadratic equation are equal, then its discriminant is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the discriminant of a quadratic equation?

For $a x 2 + b x + c = 0$ , the discriminant is $b 2 - 4 a c$ .

When are the roots of a quadratic equation equal?

The roots are equal when the discriminant is exactly equal to 0.

#ap-nth-term

In an arithmetic progression, the difference between two consecutive terms is called:

Select an option first. The solution will unlock after your attempt.

FAQ

What is common difference in AP?

It is the fixed difference between any two consecutive terms of an arithmetic progression.

#polynomial-zeros

For $p (x) = x 2 - 5 x + 6$ , the sum of zeros is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the sum of zeros of $ax^2 + bx + c$?

The sum of zeros is $- b a$ .

#distance-formula

In the diagram, the distance AB is found using:

Select an option first. The solution will unlock after your attempt.

FAQ

Which theorem is used in the distance formula?

The distance formula is derived using Pythagoras theorem on a right triangle formed on the coordinate plane.

#euclid-lemma

According to Euclid's division lemma, for positive integers $a$ and $b$ , we can write:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the condition on remainder in Euclid's division lemma?

The remainder $r$ must satisfy $0 \leq r < b$ .

#hcf-lcm

For two positive integers $a$ and $b$ , the relation between HCF and LCM is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the HCF-LCM product relation?

For two numbers $a$ and $b$ , $H C F \times L C M = a \times b$ .

#prime-factorisation

The prime factorisation of $180$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why is prime factorisation useful?

It helps find HCF, LCM, and proves properties of numbers.

#irrational-root

Which of the following is irrational?

Select an option first. The solution will unlock after your attempt.

FAQ

Is every square root irrational?

No. Square roots of perfect squares are rational.

#decimal-termination

The decimal expansion of $13125$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a rational number have terminating decimal expansion?

After simplification, denominator should be of the form $2 m 5 n$ .

#polynomial-degree

The degree of $7 x 3 - 2 x 2 + 5$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is the degree of a polynomial?

It is the highest power of the variable with non-zero coefficient.

#polynomial-zero-value

If $p (x) = x - 4$ , then the zero of $p (x)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is a zero of a polynomial?

A zero is a value of $x$ for which $p (x) = 0$ .

#product-of-zeros

For $2 x 2 - 7 x + 3$ , the product of zeros is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is product of zeros of $ax^2+bx+c$?

The product of zeros is $c a$ .

#graph-zeros

The number of zeros of a polynomial is equal to the number of points where its graph intersects:

Select an option first. The solution will unlock after your attempt.

FAQ

How are zeros seen on a graph?

Zeros are the X-coordinates of points where the graph cuts or touches the X-axis.

#linear-unique-solution

A pair of linear equations has a unique solution when:

Select an option first. The solution will unlock after your attempt.

FAQ

What does unique solution mean graphically?

It means the two lines intersect at exactly one point.

#linear-no-solution

If two lines are parallel and distinct, the pair of equations has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a pair of linear equations have no solution?

When the two lines are parallel and distinct.

#elimination-method

For equations $x + y = 9$ and $x - y = 1$ , the value of $x$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why does elimination work here?

Adding the equations cancels $y$ and gives one equation in $x$ .

#linear-ratio-condition

For $a 1 x + b 1 y + c 1 = 0$ and $a 2 x + b 2 y + c 2 = 0$ , no solution occurs when:

Select an option first. The solution will unlock after your attempt.

FAQ

Which ratio condition gives parallel distinct lines?

$a 1 a 2 = b 1 b 2 \neq c 1 c 2$ gives no solution.

#quadratic-standard-form

The standard form of a quadratic equation is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why must $a\ne0$ in a quadratic equation?

If $a = 0$ , the equation becomes linear, not quadratic.

#quadratic-factorisation

The roots of $x 2 - 5 x + 6 = 0$ are:

Select an option first. The solution will unlock after your attempt.

FAQ

How do we solve by factorisation?

Split the middle term and write the equation as product of two factors equal to zero.

#positive-discriminant

If $D = b 2 - 4 a c > 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

What does positive discriminant mean?

It means two distinct real roots.

#no-real-roots

If $b 2 - 4 a c < 0$ , then the quadratic equation has:

Select an option first. The solution will unlock after your attempt.

FAQ

When does a quadratic equation have no real roots?

When the discriminant $b 2 - 4 a c$ is less than $0$ .

#ap-formula

The $n$ th term of an AP is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why is it $(n-1)d$ in AP nth term?

The first term has zero common differences added, so the $n$ th term has $(n - 1)$ differences.

#ap-sum-formula

The sum of first $n$ terms of an AP is:

Select an option first. The solution will unlock after your attempt.

FAQ

Which formula gives sum of first $n$ AP terms?

$S n = n 2 [2 a + (n - 1) d]$ gives the sum.

#ap-missing-term

In the AP $3, 7, 11, 15, . . .$ , the common difference is:

Select an option first. The solution will unlock after your attempt.

FAQ

How is common difference found?

Subtract any term from the next term: $d = a 2 - a 1$ .

#ap-term-check

Which term of the AP $5, 8, 11, . . .$ is $50$ ?

Select an option first. The solution will unlock after your attempt.

FAQ

How do we check position of a term in AP?

Put the term equal to $a + (n - 1) d$ and solve for $n$ .

#similarity-criterion

If two triangles have corresponding angles equal, they are similar by:

Select an option first. The solution will unlock after your attempt.

FAQ

Does AAA prove congruence?

No. AAA proves similarity, not necessarily congruence.

#basic-proportionality

If a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides:

Select an option first. The solution will unlock after your attempt.

FAQ

What does BPT state?

A line parallel to one side of a triangle divides the other two sides in the same ratio.

#pythagoras-theorem

In a right triangle with legs $6$ cm and $8$ cm, the hypotenuse is:

Select an option first. The solution will unlock after your attempt.

FAQ

When can Pythagoras theorem be used?

It can be used only in a right triangle.

#similar-triangles-area

If two similar triangles have corresponding sides in ratio $2 : 3$ , their areas are in ratio:

Select an option first. The solution will unlock after your attempt.

FAQ

How are areas of similar triangles related?

Their areas are proportional to the squares of corresponding sides.

#midpoint-formula

The midpoint of $(2, 4)$ and $(6, 8)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is midpoint formula?

Midpoint is $\leq f t (x 1 + x 2 2, y 1 + y 2 2)$ .

#section-formula

The point dividing $(0, 0)$ and $(6, 9)$ internally in ratio $1 : 2$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is internal section formula used for?

It finds a point dividing a line segment internally in a given ratio.

#coordinate-area

The area of triangle with vertices $(0, 0)$ , $(4, 0)$ and $(0, 3)$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is triangle area formula?

Area is $12 \times b a s e \times h e i g h t$ .

#sin-ratio

In a right triangle, $s i n θ$ equals:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin\theta$ in a right triangle?

$s i n θ = o p p o s i t e h y p o t e n u s e$ .

#trig-identity

Which identity is correct?

Select an option first. The solution will unlock after your attempt.

FAQ

What is the main trigonometric identity?

$s i n 2 θ + c o s 2 θ = 1$ .

#standard-trig-value

The value of $s i n 30 °$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin30^\circ$?

$s i n 30 ° = 12$ .

#complementary-trig

$s i n (90 ° - θ)$ is equal to:

Select an option first. The solution will unlock after your attempt.

FAQ

What is $\sin(90^\circ-\theta)$?

It equals $c o s θ$ .

#height-distance

The angle of elevation is measured from the:

Select an option first. The solution will unlock after your attempt.

FAQ

What is angle of elevation?

It is the angle made with the horizontal when the observer looks upward.

#tan-height

If a pole of height $h$ casts a shadow of $10$ m and angle of elevation is $45 °$ , then $h$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

Why is tangent used in height and shadow questions?

Because tangent connects opposite side and adjacent side: $t a n θ = h e i g h t s h a d o w$ .

#tangent-radius

A tangent to a circle is perpendicular to the radius through the point of:

Select an option first. The solution will unlock after your attempt.

FAQ

What is tangent-radius theorem?

A tangent is perpendicular to the radius at the point of contact.

#equal-tangents

Tangents drawn from an external point to a circle are:

Select an option first. The solution will unlock after your attempt.

FAQ

What is true about tangents from an external point?

They are equal in length.

#sector-area

Area of a sector with angle $θ$ and radius $r$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

How is sector area calculated?

Sector area is $θ 360 ° π r 2$ .

#cylinder-curved-area

The curved surface area of a cylinder is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is curved surface area of cylinder?

It is $2 π r h$ .

#cone-volume

The volume of a cone is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is volume of cone?

Volume of cone is $13 π r 2 h$ .

#sphere-volume

The volume of a sphere of radius $r$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is volume of sphere?

It is $43 π r 3$ .

#mean-formula

Mean of observations is calculated as:

Select an option first. The solution will unlock after your attempt.

FAQ

What is arithmetic mean?

Arithmetic mean is total of observations divided by number of observations.

#median

The median is the:

Select an option first. The solution will unlock after your attempt.

FAQ

What is median?

Median is the middle value of arranged data.

#mode

The mode of $2, 3, 3, 4, 5, 5, 5, 6$ is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is mode?

Mode is the observation with maximum frequency.

#probability-basic

Probability of an event is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is basic probability formula?

$P(E)=favourable\ outcomestotal\ outcomes$ .

#coin-probability

When one fair coin is tossed, probability of getting a head is:

Select an option first. The solution will unlock after your attempt.

FAQ

What is probability of head in one coin toss?

It is $12$ for a fair coin.

#die-probability

When a fair die is thrown, probability of getting an even number is:

Select an option first. The solution will unlock after your attempt.

FAQ

How many even outcomes are there on a die?

There are three even outcomes: $2, 4, 6$ .

If the roots of a quadratic equation are equal, then its discriminant is:

In an arithmetic progression, the difference between two consecutive terms is called:

For p(x) = x2 - 5x + 6, the sum of zeros is:

In the diagram, the distance AB is found using:

According to Euclid's division lemma, for positive integers a and b, we can write:

For two positive integers a and b, the relation between HCF and LCM is:

The prime factorisation of 180 is:

Which of the following is irrational?

The decimal expansion of 13125 is:

The degree of 7x3 - 2x2 + 5 is:

If p(x)=x-4, then the zero of p(x) is:

For 2x2 - 7x + 3, the product of zeros is:

The number of zeros of a polynomial is equal to the number of points where its graph intersects:

A pair of linear equations has a unique solution when:

If two lines are parallel and distinct, the pair of equations has:

For equations x+y=9 and x-y=1, the value of x is:

For a1x+b1y+c1=0 and a2x+b2y+c2=0, no solution occurs when:

The standard form of a quadratic equation is:

The roots of x2-5x+6=0 are:

If D=b2-4ac>0, then the quadratic equation has:

If b2-4ac<0, then the quadratic equation has:

The nth term of an AP is:

The sum of first n terms of an AP is:

In the AP 3, 7, 11, 15, ..., the common difference is:

Which term of the AP 5, 8, 11, ... is 50?

If two triangles have corresponding angles equal, they are similar by:

If a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides:

In a right triangle with legs 6 cm and 8 cm, the hypotenuse is:

If two similar triangles have corresponding sides in ratio 2:3, their areas are in ratio:

The midpoint of (2,4) and (6,8) is:

The point dividing (0,0) and (6,9) internally in ratio 1:2 is:

The area of triangle with vertices (0,0), (4,0) and (0,3) is:

In a right triangle, sinθ equals:

Which identity is correct?

The value of sin30° is:

sin(90°-θ) is equal to:

The angle of elevation is measured from the:

If a pole of height h casts a shadow of 10 m and angle of elevation is 45°, then h is:

A tangent to a circle is perpendicular to the radius through the point of:

Tangents drawn from an external point to a circle are:

Area of a sector with angle θ and radius r is:

The curved surface area of a cylinder is:

The volume of a cone is:

The volume of a sphere of radius r is:

Mean of observations is calculated as:

The median is the:

The mode of 2,3,3,4,5,5,5,6 is:

Probability of an event is:

When one fair coin is tossed, probability of getting a head is:

When a fair die is thrown, probability of getting an even number is:

If the roots of a quadratic equation are equal, then its discriminant is:

In an arithmetic progression, the difference between two consecutive terms is called:

For p(x) = x2 - 5x + 6, the sum of zeros is:

In the diagram, the distance AB is found using:

According to Euclid's division lemma, for positive integers a and b, we can write:

For two positive integers a and b, the relation between HCF and LCM is:

The prime factorisation of 180 is:

Which of the following is irrational?

The decimal expansion of 13125 is:

The degree of 7x3 - 2x2 + 5 is:

If p(x)=x-4, then the zero of p(x) is:

For 2x2 - 7x + 3, the product of zeros is:

The number of zeros of a polynomial is equal to the number of points where its graph intersects:

A pair of linear equations has a unique solution when:

If two lines are parallel and distinct, the pair of equations has:

For equations x+y=9 and x-y=1, the value of x is:

For a1x+b1y+c1=0 and a2x+b2y+c2=0, no solution occurs when:

The standard form of a quadratic equation is:

The roots of x2-5x+6=0 are:

If D=b2-4ac>0, then the quadratic equation has:

If b2-4ac<0, then the quadratic equation has:

The nth term of an AP is:

The sum of first n terms of an AP is:

In the AP 3, 7, 11, 15, ..., the common difference is:

Which term of the AP 5, 8, 11, ... is 50?

If two triangles have corresponding angles equal, they are similar by:

If a line is drawn parallel to one side of a triangle intersecting the other two sides, it divides those sides:

In a right triangle with legs 6 cm and 8 cm, the hypotenuse is:

If two similar triangles have corresponding sides in ratio 2:3, their areas are in ratio:

The midpoint of (2,4) and (6,8) is:

For $p (x) = x 2 - 5 x + 6$ , the sum of zeros is:

According to Euclid's division lemma, for positive integers $a$ and $b$ , we can write:

For two positive integers $a$ and $b$ , the relation between HCF and LCM is:

The prime factorisation of $180$ is:

The decimal expansion of $13125$ is:

The degree of $7 x 3 - 2 x 2 + 5$ is:

If $p (x) = x - 4$ , then the zero of $p (x)$ is:

For $2 x 2 - 7 x + 3$ , the product of zeros is:

For equations $x + y = 9$ and $x - y = 1$ , the value of $x$ is:

For $a 1 x + b 1 y + c 1 = 0$ and $a 2 x + b 2 y + c 2 = 0$ , no solution occurs when:

The roots of $x 2 - 5 x + 6 = 0$ are:

If $D = b 2 - 4 a c > 0$ , then the quadratic equation has:

If $b 2 - 4 a c < 0$ , then the quadratic equation has:

The $n$ th term of an AP is:

The sum of first $n$ terms of an AP is:

In the AP $3, 7, 11, 15, . . .$ , the common difference is:

Which term of the AP $5, 8, 11, . . .$ is $50$ ?

In a right triangle with legs $6$ cm and $8$ cm, the hypotenuse is:

If two similar triangles have corresponding sides in ratio $2 : 3$ , their areas are in ratio:

The midpoint of $(2, 4)$ and $(6, 8)$ is:

The point dividing $(0, 0)$ and $(6, 9)$ internally in ratio $1 : 2$ is:

The area of triangle with vertices $(0, 0)$ , $(4, 0)$ and $(0, 3)$ is:

In a right triangle, $s i n θ$ equals:

The value of $s i n 30 °$ is:

$s i n (90 ° - θ)$ is equal to:

If a pole of height $h$ casts a shadow of $10$ m and angle of elevation is $45 °$ , then $h$ is:

Area of a sector with angle $θ$ and radius $r$ is:

The volume of a sphere of radius $r$ is:

The mode of $2, 3, 3, 4, 5, 5, 5, 6$ is:

For $p (x) = x 2 - 5 x + 6$ , the sum of zeros is:

According to Euclid's division lemma, for positive integers $a$ and $b$ , we can write:

For two positive integers $a$ and $b$ , the relation between HCF and LCM is:

The prime factorisation of $180$ is:

The decimal expansion of $13125$ is:

The degree of $7 x 3 - 2 x 2 + 5$ is:

If $p (x) = x - 4$ , then the zero of $p (x)$ is:

For $2 x 2 - 7 x + 3$ , the product of zeros is:

For equations $x + y = 9$ and $x - y = 1$ , the value of $x$ is:

For $a 1 x + b 1 y + c 1 = 0$ and $a 2 x + b 2 y + c 2 = 0$ , no solution occurs when:

The roots of $x 2 - 5 x + 6 = 0$ are:

If $D = b 2 - 4 a c > 0$ , then the quadratic equation has:

If $b 2 - 4 a c < 0$ , then the quadratic equation has:

The $n$ th term of an AP is:

The sum of first $n$ terms of an AP is:

In the AP $3, 7, 11, 15, . . .$ , the common difference is:

Which term of the AP $5, 8, 11, . . .$ is $50$ ?

In a right triangle with legs $6$ cm and $8$ cm, the hypotenuse is:

If two similar triangles have corresponding sides in ratio $2 : 3$ , their areas are in ratio:

The midpoint of $(2, 4)$ and $(6, 8)$ is:

The point dividing $(0, 0)$ and $(6, 9)$ internally in ratio $1 : 2$ is:

The area of triangle with vertices $(0, 0)$ , $(4, 0)$ and $(0, 3)$ is:

In a right triangle, $s i n θ$ equals:

The value of $s i n 30 °$ is:

$s i n (90 ° - θ)$ is equal to:

If a pole of height $h$ casts a shadow of $10$ m and angle of elevation is $45 °$ , then $h$ is:

Area of a sector with angle $θ$ and radius $r$ is:

The volume of a sphere of radius $r$ is:

The mode of $2, 3, 3, 4, 5, 5, 5, 6$ is: