If α, β are zeroes of the polynomial x² - 1, then value of (α + β) is: (A) 2 (B) 1 (C) -1 (D) 0

MathsCBSE Class 10 · Standard · Board exam 2023, set 30/4/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 8

Set in the CBSE Class 10 board exam of 2023, paper 30/4/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQPolynomials

If $α, β$ are zeroes of the polynomial $x^{2} - 1$ , then value of $(α + β)$ is:

(A)2
(B)1
(C)-1
(D)0

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/4/1.

Hints

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

Hint 1

Use sum of zeroes $= - b / a$ .

Hint 2

Here the coefficient of $x$ is 0.

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.

For $x^{2} + 0 \cdot x - 1$ : $a = 1$ , $b = 0$ , $c = - 1$ .
Sum of zeroes $α + β = - \frac{b}{a} = 0$ . (Check: the zeroes are $1$ and $- 1$ .) So the answer is option (D).
1 mark

Answer: 0, option (D)

Where the marks are

Chooses option (D) 0 (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 paper2023 board paper, set 30/4/1 (Standard): every question, by section.

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CBSE Class 10 Mathematics Standard 2023: question 8

Hints

Step-by-step solution

Revise the chapter

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