All the pairs (x, y) that satisfy the inequality 2^ ^2x-2 x+5 14^ ^2y 1 also satisfy the equation:

Question

Accepted Answer

Correct answer: D. (d) JEE Main 2019 Given inequality is, 2 sin^2x-2 sinx+5 2^2 sin^2y ⇒ sin^2x-2 sinx+5 2 sin^2y ⇒ ( sinx-1)^2+4 2 sin^2y It is true if sinx=1 and ( siny )=1 Therefore, sinx= ( siny )

$All the pairs (x, y) that satisfy the inequality 2^{s i n^{2} x - 2 s i n x + 5} \cdot \frac{1}{4 ^{s i n^{2} y}} \leq 1 also satisfy the equation:$

Solution

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