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Question

The equation 22x+(a1)2x+1+a=0 has roots reciprocal to each, then set of values of 'a' is


A

a < 0

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B

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C

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D

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Solution

The correct option is D


Let 2x=t

f(t) = t2+ 2(a-1) t + a = 0 , has positive roots reciprocal to each other

then :f(1) < 0 3a < 1 a < 13


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