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

Question 5.JPG

Question 5 - 2.JPG

Go Ad-free

Transcript

Question 5 If a, are the zeros of the quadratic polynomial 𝑝(π‘₯)=π‘₯^2βˆ’(π‘˜+6) π‘₯+2 (2π‘˜βˆ’1), then the value of π‘˜, if 𝛼+𝛽=1/2 𝛼𝛽 is (a) βˆ’7 (b) 7 (c) βˆ’3 (d) 3 Given 𝛼+𝛽=1/2 𝛼𝛽 Sum of Zeroes = 𝟏/𝟐 Γ— Product of Zeroes (βˆ’π‘)/π‘Ž=1/2 ×𝑐/π‘Ž (βˆ’(βˆ’(π‘˜ + 6))/1=1/2 Γ—(2(2π‘˜βˆ’1))/1 (π’Œ+πŸ”)=πŸπ’Œβˆ’πŸ 6+1=2π‘˜βˆ’π‘˜ 7=π‘˜ π’Œ=πŸ• So, the correct answer is (b)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.