Check sibling questions

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


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)

  1. Chapter 2 Class 10 Polynomials
  2. Serial order wise

About the Author

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 and Computer Science at Teachoo