Most Important Selected Qs for JEE AdvancedMathematicsTrigonometry

If = 1 2 (x+ 1 x ) and = 1 2 (y+ 1 y ),(x y 0) x, y, , R then

Options

A( + + )= R
B=1 , R
C( + )^2=4 , R
D( + + )= + + , , R

Correct answer

D. ( + + )= + + , , R

Step-by-step solution

aligned & = 1 2 (x+ 1 x ) and = 1 2 (y+ 1 y ) & since x y 0 x+ 1 x 2 or -2 & y+ 1 y 2 or -2 aligned =1, =1 ....(1) or =-1, =-1 ...(2) aligned & =1 & ( + )^2=4 & + is an even multiple of & ( + + )= (2 n + )= & Also, = =0 aligned

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