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The graph of y = p(x) is… (Class 10 Maths Basic 2023, Q7)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2023: question 7

Set in the CBSE Class 10 board exam of 2023, paper 430/1/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQPolynomials

The graph of is shown in the figure for some polynomial . The number of zeroes of is/are :

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

Figure in the paper: Coordinate axes x'Ox and y'Oy. A U-shaped curve labelled y = p(x) opens upward, lies entirely above the x-axis, and touches the y-axis at its lowest-looking point near the top of the y-axis; its two ends rise on both sides. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/1/1.

Hints

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

Hint 1

Zeroes correspond to where the graph cuts or touches the x-axis.

Hint 2

Does the curve ever reach the x-axis?

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 of are the x-coordinates where the graph meets the x-axis.

  2. The curve lies wholly above the x-axis and never meets it, so there are 0 zeroes. Option (A).

    1 mark

Answer: 0, option (A)

Where the marks are

  • Counts intersections with x-axis: none (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 430/1/1 (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.