Maths · Algebra · chapter 2 of 14

Class 10 Maths Chapter 2: Polynomials Assertion-reason questions with answers

2 assertion-reason questions on Polynomials, 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): The graph of y = −2x2 + 3x + 7 is a parabola opening downwards. Reason (R): The graph of y = ax2 + bx + c opens downwards when a < 0.
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Answer: (a) Both A and R are true, and R is the correct explanation of A.

Both are true: here a = −2 < 0, and that is exactly why the parabola opens downwards. R explains A.

Question 2
Assertion (A): The zeroes of 2x2 − 8 are 2 and −2. Reason (R): A quadratic polynomial has at most two zeroes.
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Answer: (b) Both A and R are true, but R is not the correct explanation of A.

A is true: 2x2 − 8 = 2(x − 2)(x + 2). R is true, but it only limits how many zeroes there can be; it does not tell us that they are 2 and −2. So R does not explain A.

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