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If y = f(x) is a curve and if there exis...

If `y = f(x)` is a curve and if there exists two points `A(x_1, f(x_1))` and `B (x_2,f(x_2))` on it such that `f'(x_1) = -1/( f(x_2))`, then the tangent at `x_1` is normal at `x_2` for that curve. Number of such lines on the curve y=sinx is

A

(a)1

B

(b)0

C

(c)2

D

(d)Infinite

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