If a, are the zeros of the quadratic polynomialΒ p(x = x 2 - (k + 6)Β x + 2 (2k - 1), then the value of k, if Ξ± + Ξ²=1/2Β Ξ±Ξ² is
(a) β7Β
(b) 7Β
c) β3Β
(d) 3

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Past Year MCQ (Maths Standard)
Past Year MCQ (Maths Standard)
Last updated at March 16, 2023 by Teachoo
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Question 5 If a, are the zeros of the quadratic polynomial π(π₯)=π₯^2β(π+6) π₯+2 (2πβ1), then the value of π, if πΌ+π½=1/2 πΌπ½ is (a) β7 (b) 7 (c) β3 (d) 3 Given πΌ+π½=1/2 πΌπ½ Sum of Zeroes = π/π Γ Product of Zeroes (βπ)/π=1/2 Γπ/π (β(β(π + 6))/1=1/2 Γ(2(2πβ1))/1 (π+π)=ππβπ 6+1=2πβπ 7=π π=π So, the correct answer is (b)