The equation of a straight line which passes through the point $(a \cos^3 \theta, a \sin^3 \theta)$ and is perpendicular to $(x \sec \theta + y \csc \theta = a)$ is

Question

$(\frac{x}{a} + \frac{y}{b} = a \cos \theta)$

$(x \cos \theta - y \sin \theta = a \cos 2\theta)$

$(x \cos \theta + y \sin \theta = a \cos 2\theta)$

$(x \cos \theta - y \sin \theta = -a \cos 2\theta)$

Solution

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