Skip to content

If α, β are the zeroes of the… (Maths 2026 30/1/1 Q21)

questionbuddy.in/q/cbse-10-maths-2026-30-1-1-q21-zeroes-polynomial-value

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/1/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2026: question 21

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section B, question 21, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q21 · 2 marks · Very short answerPolynomials

If are the zeroes of the polynomial , then find the value of .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/1/1.

Hints

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

Hint 1

Recall the sum and product of zeroes in terms of the coefficients.

Hint 2

Combine the two fractions over a common denominator αβ.

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. For : and .

    1 mark

  2. .

    ½ mark

  3. .

    ½ mark

Answer:

Where the marks are

  • Writes sum of zeroes = 3 and product = −1 (1 mark)
  • Rewrites the expression as (α+β)/(αβ) and substitutes (½ mark)
  • Gets the answer −3 (½ mark)

Revise the chapter

Practise this chapterBoard-style questions from Polynomials, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/1/1 (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.