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The graph of y = f(x) is given. The… (Maths 2026 30/2/1 Q4)

questionbuddy.in/q/cbse-10-maths-2026-30-2-1-q4-graph-number-distinct-zeroes

MathsCBSE Class 10 · Standard · Board exam 2026, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 4

Set in the CBSE Class 10 board exam of 2026, paper 30/2/1, section A, question 4, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q4 · 1 mark · MCQPolynomials

The graph of is given. The number of distinct zeroes of is :

  1. (A)0
  2. (B)1
  3. (C)2
  4. (D)3

Figure in the paper: Graph of y = f(x) with axes x'Ox and yOy'. The curve starts bottom-left, crosses the x-axis at a point labelled A on the negative x-side, rises to a local maximum above the origin on the y-axis, falls crossing the positive x-axis, touches the x-axis at a local minimum (tangent) on the positive side, then rises upward to the right. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/2/1.

Hints

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

Hint 1

Count points where the graph meets the x-axis.

Hint 2

A touching point counts once as a distinct zero.

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. Zeroes are the x-values where the graph meets the x-axis. The curve cuts the axis at A and meets it again where it falls and touches it at the minimum.

  2. As in the official figure, the curve meets the x-axis at 2 distinct points. Option (C).

    1 mark

Answer: 2, option (C)

Where the marks are

  • Correct 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 paper2026 board paper, set 30/2/1 (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.