CBSE Class 10 Mathematics Standard 2023: question 14
Set in the CBSE Class 10 board exam of 2023, paper 30/1/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.
Q14 · 1 mark · MCQPolynomials
Which of the following is a quadratic polynomial having zeroes and ?
- (A)
- (B)
- (C)
- (D)
Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
A quadratic with given zeroes is .
Hint 2
Alternatively, put into each option.
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.
Sum of zeroes and product . So the polynomial is for any non-zero constant .
- 1 mark
Taking gives . Check: . The other options have zeroes or no real zeroes. Option (D).
Answer: , option (D)
Where the marks are
- Forms and identifies , option (D) (1 mark)
Revise the chapter
- Chapter: Polynomials (notes, formulas, where marks are lost and every past question)
- Topic: Forming a Quadratic Polynomial from Its Zeros
More questions from Polynomials
- 2023 board paper, set 30/4/1 (Standard), Q8 · 1 markIf α, β are zeroes of the polynomial x² - 1, then value of (α + β) is:
- 2023 board paper, set 30/4/1 (Standard), Q17 · 1 markIf α, β are the zeroes of the polynomial p(x) = 4x² - 3x - 7, then ((1)/(α) + (1)/(β) ) is equal to:
- 2023 board paper, set 30/4/1 (Standard), Q22 · 2 marksIf one zero of the polynomial p(x) = 6x² + 37x - (k - 2) is reciprocal of the other, then find the value of k.
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.