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Graph of a polynomial… (Class 10 Maths Basic 2024, Q11)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2024: question 11

Set in the CBSE Class 10 board exam of 2024, paper 430/3/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQPolynomials

In the given figure, graph of a polynomial is shown. The number of zeroes of polynomial is :

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

Figure in the paper: Cartesian axes X'OX and Y'OY. A curve labelled f(x) rises from the lower left, crosses the X-axis near the origin, reaches a single peak to the right of the origin above the X-axis, and then falls and crosses the X-axis again on the right. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/3/1.

Hints

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

Hint 1

Zeroes are where the graph meets the X-axis.

Hint 2

Count the crossings.

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 number of zeroes equals the number of points where the graph meets the X-axis.

  2. The curve cuts the X-axis at the origin and at one point on the right: 2 zeroes, option (D).

    1 mark

Answer: 2, option (D)

Where the marks are

  • Counts 2 intersections with the X-axis (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 paper2024 board paper, set 430/3/1 (Basic): 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.