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The equation tan^4x-2sec^2x+a=0 will hav...

The equation `tan^4x-2sec^2x+a=0` will have at least one solution if `1

A

`1 lt a le 4`

B

`a ge 2`

C

`a le 3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`tan^(4)x-2 sec^(2)x+a=0`
or `tan^(4)x-2(1+tan^(2)x)+a=0`
or `tan^(4)x-2 tan^(2) x+1=3-a`
or `(tan^(2) x-1)^(2)=3-a`
`rArr 3-a ge 0 or a le 3`
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CENGAGE-TRIGONOMETRIC EQUATIONS-Exercise (Single)
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