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

 

[MCQ] If α and β are the zeros of a polynomial f(x) = px2 – 2x + 3p - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

part 2 - Question 3 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

 

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo