Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • The set of values of a such that the equation 2x^2 -2(2a+1)x+a(a-1)=0 has alpha and beta satisfying alpha < a < beta

The set of values of a such that the equation 2x^2 -2(2a+1)x+a(a-1)=0 has alpha and beta satisfying alpha < a < beta

Answers (1)

best_answer

Solution:   Let  f(x)=2x^2-2(2a+1)x+a(a-1)

a lies  between the roots of given equation .

\ \ Rightarrow hspace1cm2f(a)< 0Rightarrow f(a)< 0\ \ Rightarrow hspace1cm2a^2-2(2a+1)a+a(a-1)< 0\ \ Rightarrow hspace1cm-a^2-3a< 0Rightarrow a(a+3)> 0\ \ Rightarrow hspace1cmain (infty,-3)cup(0,infty)

Posted by

Deependra Verma

View full answer

Similar Questions

Latest Question