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the possible values of a for which e2x-(a-2)ex+a<0 holds for atleast one x bbelongs to (0,infinity) are-

(a)6   (b)9    (c)12     (d)16

6 years ago

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Ans:
Hello Student,

e2x– (a-2)ex+ a < 0
Let
t = ex
t2– (a – 2)t + a < 0
So the equation does not real roots.
(a – 2)2< 4a
a2+ 4 – 4a < 4a
a2– 8a + 4 < 0




So 6 is the correct option.

2 years ago

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