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Assertion (A): If the graph of… (Class 10 Maths 2024, Q20)

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MathsCBSE Class 10 · Standard · Board exam 2024, set 30/1/1 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Standard 2024: question 20

Set in the CBSE Class 10 board exam of 2024, paper 30/1/1, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedPolynomials

Assertion (A): If the graph of a polynomial touches x-axis at only one point, then the polynomial cannot be a quadratic polynomial.

Reason (R): A polynomial of degree can have at most zeroes.

  1. (A)Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).
  2. (B)Both, Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation for Assertion (A).
  3. (C)Assertion (A) is true but Reason (R) is false.
  4. (D)Assertion (A) is false but Reason (R) is true.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 30/1/1.

Hints

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

Hint 1

Think of a quadratic with equal roots.

Hint 2

What does the graph of look like near ?

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. Assertion: is quadratic, and its graph touches the x-axis only at . So A is false.

  2. Reason: a polynomial of degree has at most zeroes, so R is true. Hence the answer is option (D).

    1 mark

Answer: Option (D)

Where the marks are

  • Gives a counter-example such as to show A is false and R is true, option (D) (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 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.