Skip to content

Assertion (A): If zeroes… (Class 10 Maths SQP 2026-27, Q20)

questionbuddy.in/q/cbse-10-maths-2026-27-sqp-standard-q20-zeroes-polynomial-reciprocal-other-zeroes

MathsCBSE Class 10 · Standard · Sample paper, session 2026-27 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard sample paper 2026-27: question 20

From the official CBSE sample question paper for 2026-27, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedPolynomials

Assertion (A): If zeroes of the polynomial are reciprocal of each other, then .
Reason (R): If , then zeroes of the polynomial , are reciprocal of each other.
Options: (A) Both A and R are true and R is the correct explanation of A. (B) Both A and R are true but R is not the correct explanation of A. (C) A is true but R is false. (D) A is false but R is true.

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

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

Open one hint at a time and try again before the next.

Hint 1

What is the product of two numbers that are reciprocals?

Hint 2

Product of zeroes = c/a.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. If the zeroes are reciprocals, their product is 1: . A is true.

  2. R: if , the product of zeroes , so the zeroes are reciprocals. R is true, and it gives the condition used in A. Option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Uses product of zeroes = 1 to get k = −1 and links it to R (1 mark)

Revise the chapter

  • Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2026-27 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.