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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
If x2+y2=1;xx^2+y^2=1 ; x, y∈Ry \in R, then (3x−4x2)2\left(3 x-4 x^2\right)^2 +(3y−4y3)+\left(3 y-4 y^3\right) is equal to
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Correct option: A
11
Option A (1) is correct because by substituting x=cos⁡tx = \cos t and y=sin⁡ty = \sin t, the expression simplifies to (cos⁡3t)2+(sin⁡3t)2(\cos 3t)^2 + (\sin 3t)^2, which equals 1.

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