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Two polynomials are shown in… (Class 10 Maths 2025, Q10)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 10

Set in the CBSE Class 10 board exam of 2025, paper 30/1/1, section A, question 10, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q10 · 1 mark · MCQCompetency-basedPolynomials

Two polynomials are shown in the graph below. The number of distinct zeroes of both the polynomials is :

  1. (A)3
  2. (B)5
  3. (C)2
  4. (D)4

Figure in the paper: Graph with x'x and y'y axes showing two parabolas: one opening downward (peak on the positive y-axis) and one opening upward (minimum on the negative y-axis). Both cross the x-axis at the same two points, one on each side of the y-axis. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/1/1.

Hints

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

Hint 1

Zeroes are where a graph meets the x-axis.

Hint 2

Count the different points where either curve meets the x-axis. Count shared points only once.

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. The zeroes of a polynomial are the x-coordinates of the points where its graph meets the x-axis.

  2. Both parabolas cross the x-axis at the same two points, one on each side of the y-axis. So the number of distinct zeroes is 2, which is option (C).

    1 mark

Answer: 2, option (C)

Where the marks are

  • Notes both graphs cut the x-axis at the same two points, giving 2 distinct zeroes, option (C) (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 paper2025 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.