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Q.

The maximum value of the function fx=sin2x1+cos2xcos2x1+sin2xcos2xcos2xsin2xcos2xsin2x,x∈R  is  :

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a

5

b

7

c

34

d

5

answer is D.

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Detailed Solution

The given determinant is fx=sin2x1+cos2xcos2x1+sin2xcos2xcos2xsin2xcos2xsin2x,x∈R  is  :Add the first two columns fx=21+cos2xcos2x2cos2xcos2x1cos2xsin2xR1→R1−R2The above the determinant becomes fx=0102cos2x  cos2x1cos2x  sin2x=cos2x-2sin2xThe maximum value is 12+22=5
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The maximum value of the function fx=sin2x1+cos2xcos2x1+sin2xcos2xcos2xsin2xcos2xsin2x,x∈R  is  :