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If the equation cof^4x-2cos e c^2x+a^2=0...

If the equation `cof^4x-2cos e c^2x+a^2=0` has at least one solution, then the sum of all possible integral values of a is equal to a. 4 b. 3 c. 2 d. 0

A

4

B

3

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
4
`cot^(4)x-2(1+cot^(2)x)+a^(2)=0`
`rArrcot^(4)x-2cot^(2)x+a^(2)-2=0`
`rArr(cot^(2)x-1)^(2)=3-a^(2)`
To have at least one solution
`3-a^(2)ge0`
`rArra^(2)-3le0`
`ain[-sqrt3,sqrt3]`
Integral values -1,0,1
Therefore, sum = 0
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