Trigonometric EquationHard

Question

The normal to the curve x = a(1 + cos θ), y = asinθ at ′θ′ always passes through the fixed point

Options

A.(a, 0)
B.(0, a)
C.(0, 0)
D.(a, a)

Solution

Eliminating θ, we get (x - a)2 + y2 = a2.
Hence normal always pass through (a, 0).

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