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If $x, y \in$ $[0, 15]$ , then the number of solutions $(x, y)$ of the equation $3^{\cos e c^{2} x - 1} \times \sqrt{4 y^{2} - 4 y + 2} \leq 1$ is

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Correct option is D

We have 3cot2x2y−12+1≤1.But 3cot2x≥1and 2y−12≥1⇒3cot2x=1and 2y−12+1=1⇒cot2x=0,y=12⇒x=π2,3π2,5π2,7π2,9π2 ∵x∈0,15

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If x,y∈0,15, then the number of solutions x,y of the equation 3cosec2x−1×4y2−4y+2≤1 is

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If $x, y \in$ $[0, 15]$ , then the number of solutions $(x, y)$ of the equation $3^{\cos e c^{2} x - 1} \times \sqrt{4 y^{2} - 4 y + 2} \leq 1$ is