Quadratic Equations — sample questions with answers.

4254 verified quadratic equations questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): The quadratic equation

has two distinct real roots.
Reason (R): The discriminant of this equation is

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(C)

2 marks Short answer

Find the value of

for which the quadratic equation

has equal roots, and hence find the repeated root.

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, repeated root

3 marks Short answer

Find two consecutive positive integers, sum of whose squares is

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and

5 marks Long answer

If Arun were younger by

years than what he really is, then the square of his age (in years) would have been

more than 7 times his actual age. What is his age now?

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years

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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