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The number of quadratic… (Class 10 Maths 2023, Q3)

questionbuddy.in/q/cbse-10-maths-2023-30-6-1-q3-number-quadratic-polynomials-having-zeroes

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/6/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 3

Set in the CBSE Class 10 board exam of 2023, paper 30/6/1, section A, question 3, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q3 · 1 mark · MCQPolynomials

The number of quadratic polynomials having zeroes and is

  1. (A)1
  2. (B)2
  3. (C)3
  4. (D)more than 3

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/6/1.

Hints

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

Hint 1

Write down one quadratic with these zeroes.

Hint 2

What happens to the zeroes when you multiply that polynomial by a constant?

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. Every polynomial with has zeroes and .

  2. Since k can be any non-zero real number, there are infinitely many such polynomials, i.e. more than 3. Option (D).

    1 mark

Answer: More than 3, option (D)

Where the marks are

  • Recognises works for every , so there are infinitely many (1 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 paper2023 board paper, set 30/6/1 (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.