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Let t be a ral number satifying 2t ^(2) ...

Let t be a ral number satifying `2t ^(2) -9t ^(2) + 30 -lamda =0` where `t =x + 1/xand lamda in R.`
If the above cubic has three real and sisinct solutions foe x then exhaustive set of value of `lamda` be :

A

is greater than 9

B

is greater than 11

C

is less than 8

D

is not equal to 10

Text Solution

Verified by Experts

The correct Answer is:
A
a
For `lamda=10impliest_(1)=2,t_(2)gt2` and if `x+1/2x=2impliesx=1` and `x+1//x=t_(20` so there will be two distinct values of `x`
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