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The maximum value off(x)=|■(sin^2⁡x&1+cos^2⁡x&cos⁡2x@1+sin^2⁡x&cos^2⁡x&cos⁡2x@sin^2⁡x&cos^2⁡x&sin⁡2x

#jee #jee_pyq
The maximum value of
f(x)=|■(sin^2⁡x&1+cos^2⁡x&cos⁡2x@1+sin^2⁡x&cos^2⁡x&cos⁡2x@sin^2⁡x&cos^2⁡x&sin⁡2x )|,x∈R is,
(a) √5 (b) 5 (c) √7 (d) 3/4
Ans: a
Sol.
C_1+C_2→C_1
|■(2&1+cos^2⁡x&cos⁡2x@2&cos^2⁡x&cos⁡2x@1&cos^2⁡x&sin⁡2x )|
R_1-R_2→R_1
|■(0&1&0@2&cos^2⁡x&cos⁡2x@1&cos^2⁡x&cos⁡2x )|
Open w.r.t. R_1
-(2 sin⁡〖2x-cos⁡2x 〗 )
cos⁡〖2x-2 sin⁡2x 〗=f(x)
├ f(x)┤|_max=√(1+4)=√5

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Видео The maximum value off(x)=|■(sin^2⁡x&1+cos^2⁡x&cos⁡2x@1+sin^2⁡x&cos^2⁡x&cos⁡2x@sin^2⁡x&cos^2⁡x&sin⁡2x канала Math Master - Impetus Gurukul

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