Question 3 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

If α and β are the zeros of a polynomial f(x) = px ² – 2x + 3p and

α + β = αβ, then p is

(a)-2/3 (b) 2/3 (c) 1/3 (d) -1/3

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Transcript

Question 3 If α and β are the zeros of a polynomial f(x) = px2 – 2x + 3p and α + β = αβ, then p is (a)-2/3 (b) 2/3 (c) 1/3 (d) -1/3 Given f(x) = px2 – 2x + 3p And, α + β = αβ Sum of zeroes = Product of zeros (−𝑏)/𝑎=𝑐/𝑎 −𝐛=𝐜 Putting values −(−2) =3p 2 =3p 3p=2 𝐩=𝟐/𝟑 So, the correct answer is (b)

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