CBSE Class 10 Maths Standard Quadratic Equations Practice Questions
Choose a Quadratic Equations topic, attempt the question first, then use the solution to revise. Topics: Standard Form, Factorisation Method, Quadratic Formula, Nature of Roots, Situational Problems.
Practice coverage:155 published questions across 6 formats.
Base
If the roots of a quadratic equation are equal, then its discriminant is:
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FAQ
What is the discriminant of a quadratic equation?
For ax2+bx+c=0, the discriminant is b2−4ac.
When are the roots of a quadratic equation equal?
The roots are equal when the discriminant is exactly equal to 0.
Base
The standard form of a quadratic equation is:
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FAQ
Why must $a\ne0$ in a quadratic equation?
If a=0, the equation becomes linear, not quadratic.
Base
The roots of x2−5x+6=0 are:
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FAQ
How do we solve by factorisation?
Split the middle term and write the equation as product of two factors equal to zero.
Base
If D=b2−4ac>0, then the quadratic equation has:
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FAQ
What does positive discriminant mean?
It means two distinct real roots.
Base
If b2−4ac<0, then the quadratic equation has:
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FAQ
When does a quadratic equation have no real roots?