Maths · Algebra · chapter 4 of 14
Class 10 Maths Chapter 4: Quadratic Equations Assertion-reason questions with answers
2 assertion-reason questions on Quadratic Equations, each with its answer and the reason, written from the NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter. Each question gives an Assertion (A) and a Reason (R); choose how they stand to each other.
Question 1
Assertion (A): 5x2 − 3 = 0 is a quadratic equation. Reason (R): ax2 + bx + c = 0 is a quadratic equation whenever a ≠ 0, even if b = 0.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.
Here a = 5, b = 0, c = −3. Only a = 0 would destroy the x2 term, so R is exactly why A holds.
Question 2
Assertion (A): x2 − 6x + 9 = 0 has two equal real roots. Reason (R): A quadratic equation has at most two roots.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.
A is true: D = 36 − 36 = 0. R is true, but equal roots follow from D = 0, not from the count of roots.
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