If a, are the zeros of the quadratic polynomial p(x = x ^{ 2 } - (k + 6) x + 2 (2k - 1), then the value of k, if α + β=1/2 αβ is
(a) −7
(b) 7
c) −3
(d) 3
Past Year MCQ (Maths Standard)
Past Year MCQ (Maths Standard)
Last updated at April 16, 2024 by Teachoo
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)