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If one zero of the polynomial… (Class 10 Maths 2023, Q22)

questionbuddy.in/q/cbse-10-maths-2023-30-4-1-q22-zero-polynomial-reciprocal-other-value

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Standard 2023: question 22

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section B, question 22, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q22 · 2 marks · Very short answerPolynomials

If one zero of the polynomial is reciprocal of the other, then find the value of k.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

If one zero is the reciprocal of the other, what is their product?

Hint 2

The product of zeroes is , with and .

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. Let the zeroes be and .

    ½ mark

  2. Product of zeroes : .

    1 mark

  3. .

    ½ mark

Answer: k = −4

Where the marks are

  • Takes the zeroes as and (½ mark)
  • Uses product of zeroes to write (1 mark)
  • Solves to get (½ 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 paper2023 board paper, set 30/4/1 (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.