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Q.

If x=sinθsinθ,y=cosθcosθ,  where  99π2≤θ≤50π then

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a

x−y=1

b

x+y=−1

c

x+y=1

d

y−x=1

answer is D.

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Detailed Solution

99π2≤θ≤50π is equivalent to 3π2≤θ≤2π∴x=−sin2θ  and  y=cos2θ           ∴y−x=1
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If x=sinθsinθ,y=cosθcosθ,  where  99π2≤θ≤50π then