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Chapter 2 Class 10 Polynomials
Serial order wise

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

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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)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.