CBSE Class 10 Maths Standard Pair of Linear Equations in Two Variables Competency Based Questions

Chapter-wise competency based questions for Pair of Linear Equations in Two Variables. Select a topic and open the answer only after your first attempt.

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CBQs Important Questions PYQs

ChapterTopic

Question 1MCQ · Understand · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

How many solutions do $2 x + 3 y = 7$ and $4 x + 6 y = 14$ have?

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Question 2MCQ · Understand · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

For a consistent pair of two linear equations, its two lines can be:

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Question 3MCQ · Apply · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

For what $k$ are $2 x + 5 y = 9$ and $6 x + k y = 11$ distinct parallel lines?

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Question 4MCQ · Apply · 1 mark

Pair of Linear Equations in Two Variables · Linear Equation Word Problems

Two pens and three notebooks cost Rs.96; four pens and one notebook cost Rs.82. With prices $p, n$ , choose the pair:

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Question 5MCQ · Apply · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

For what value of $m$ are $m x + 3 y = 8$ and $4 x + 6 y = 13$ distinct parallel lines?

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Question 6MCQ · Understand · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

The equations $3 x - 2 y = 5$ and $6 x - 4 y = 14$ represent:

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Question 7MCQ · Apply · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

The equations $x + 3 y = 5$ and $4 x + k y = 9$ are inconsistent when $k$ is:

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Question 8MCQ · Apply · 1 mark

Pair of Linear Equations in Two Variables · Consistency of Pair of Linear Equations

The equations $x - 2 y + 3 = 0$ and $3 x + k y + 5 = 0$ have no solution for:

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Question 9MCQ · Understand · 1 mark

Pair of Linear Equations in Two Variables · Graphical Method

The lines $x = - 2$ and $y = 5$ have:

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Question 10MCQ · Understand · 1 mark

Pair of Linear Equations in Two Variables · Graphical Method

The lines $x = 7$ and $y = - 3$ meet at:

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CBSE Class 10 Maths Standard Pair of Linear Equations in Two Variables Competency Based Questions

Chapter-wise competency based questions for Pair of Linear Equations in Two Variables. Select a topic and open the answer only after your first attempt.

ChapterTopic

CBSE Class 10 Maths Standard Pair of Linear Equations in Two Variables Competency Based Questions

How many solutions do 2x+3y=7 and 4x+6y=14 have?

For a consistent pair of two linear equations, its two lines can be:

For what k are 2x+5y=9 and 6x+ky=11 distinct parallel lines?

Two pens and three notebooks cost Rs.96; four pens and one notebook cost Rs.82. With prices p,n, choose the pair:

For what value of m are mx+3y=8 and 4x+6y=13 distinct parallel lines?

The equations 3x−2y=5 and 6x−4y=14 represent:

The equations x+3y=5 and 4x+ky=9 are inconsistent when k is:

The equations x−2y+3=0 and 3x+ky+5=0 have no solution for:

The lines x=−2 and y=5 have:

The lines x=7 and y=−3 meet at:

CBSE Class 10 Maths Standard Pair of Linear Equations in Two Variables Competency Based Questions

How many solutions do 2x+3y=7 and 4x+6y=14 have?

For a consistent pair of two linear equations, its two lines can be:

For what k are 2x+5y=9 and 6x+ky=11 distinct parallel lines?

Two pens and three notebooks cost Rs.96; four pens and one notebook cost Rs.82. With prices p,n, choose the pair:

For what value of m are mx+3y=8 and 4x+6y=13 distinct parallel lines?

The equations 3x−2y=5 and 6x−4y=14 represent:

The equations x+3y=5 and 4x+ky=9 are inconsistent when k is:

The equations x−2y+3=0 and 3x+ky+5=0 have no solution for:

The lines x=−2 and y=5 have:

The lines x=7 and y=−3 meet at:

How many solutions do $2 x + 3 y = 7$ and $4 x + 6 y = 14$ have?

For what $k$ are $2 x + 5 y = 9$ and $6 x + k y = 11$ distinct parallel lines?

Two pens and three notebooks cost Rs.96; four pens and one notebook cost Rs.82. With prices $p, n$ , choose the pair:

For what value of $m$ are $m x + 3 y = 8$ and $4 x + 6 y = 13$ distinct parallel lines?

The equations $3 x - 2 y = 5$ and $6 x - 4 y = 14$ represent:

The equations $x + 3 y = 5$ and $4 x + k y = 9$ are inconsistent when $k$ is:

The equations $x - 2 y + 3 = 0$ and $3 x + k y + 5 = 0$ have no solution for:

The lines $x = - 2$ and $y = 5$ have:

The lines $x = 7$ and $y = - 3$ meet at:

How many solutions do $2 x + 3 y = 7$ and $4 x + 6 y = 14$ have?

For what $k$ are $2 x + 5 y = 9$ and $6 x + k y = 11$ distinct parallel lines?

Two pens and three notebooks cost Rs.96; four pens and one notebook cost Rs.82. With prices $p, n$ , choose the pair:

For what value of $m$ are $m x + 3 y = 8$ and $4 x + 6 y = 13$ distinct parallel lines?

The equations $3 x - 2 y = 5$ and $6 x - 4 y = 14$ represent:

The equations $x + 3 y = 5$ and $4 x + k y = 9$ are inconsistent when $k$ is:

The equations $x - 2 y + 3 = 0$ and $3 x + k y + 5 = 0$ have no solution for:

The lines $x = - 2$ and $y = 5$ have:

The lines $x = 7$ and $y = - 3$ meet at: