Continuity and DifferentiabilityHard

Question

If x = cosecθ - sinθ ; y = cosecnθ - sinnθ, then (x2 + 4) - n2y2 equals to

Options

A.n2
B.2n2
C.3n2
D.4n2

Solution

∴  x = cosec θ - sinθ
⇒ x2 + 4 = (cosecθ + sinθ)2
and    y2 + 4 = (cosecnθ + sinnθ)2
Now  

Squaring both sides, we get
or    (x2 + 4) = n2 (y2 + 4) 

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