Trigonometric EquationHard

Question

Let A be the area of triangle formed by any tangent to the curve xy = 4cosec2θ, θ ≠ nπ, n ∈ I and the co-ordinate axis. The minimum value of A is :-

Options

A.4
B.8
C.2
D.16

Solution

A = 2 × 4cosec2θ = 8cosec2θ
⇒  Amin = 8

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