CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Feb. 11, 2025 by Teachoo
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![[SQP 2025 Boards] A quadratic polynomial having zeroes -√5/2 & √5/2 is - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard](https://cdn.teachoo.com/583ee90d-4fab-451a-8413-ee8d00392091/slide17.jpg)
Transcript
Question 8 A quadratic polynomial having zeroes −√(5/2) and √(5/2) is (A)〖 𝑥〗^2−5√2 𝑥+1 (B) 8𝑥^2−20 (C) 15𝑥^2−6 (D) 𝑥^2−2√5 𝑥−1Given Zeros −√(5/2) and √(5/2) . So, Sum of Zeroes = −√(5/2) + √(5/2) = 0 Product of Zeroes = −√(5/2) × √(5/2) = (−√5 × √5)/(√2 × √2) = (−𝟓)/𝟐 The Required polynomial is p(x) = x2 − (Sum of Zeroes)x + Product of Zeroes = x2 − 0x − 5/2 = x2 − 𝟓/𝟐 Now, our options are (A)〖 𝑥〗^2−5√2 𝑥+1 (B) 8𝑥^2−20 (C) 15𝑥^2−6 (D) 𝑥^2−2√5 𝑥− 1 Since there is no x term, options (a) and (d) are eliminated For B, let’s multiply our equation by 8 p(x) = 8 × (x2 − 𝟓/𝟐) = 8x2 − 8 × 𝟓/𝟐 = 8x2 − 20 Since this matches with option (b) So, the correct answer is (B)
