The equation of the normal to the ellipse $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$ at the point $(a\cos heta ,\ b\sin heta )$ is

Question

The equation of the normal to the ellipse $\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1$ at the point $(a\cos 	heta ,\ b\sin 	heta )$ is

Accepted Answer

$\frac{ax}{\cos 	heta }-\frac{by}{\sin 	heta }={{a}^{2}}-{{b}^{2}}$

Answer

$\frac{ax}{\sin 	heta }-\frac{by}{\cos 	heta }={{a}^{2}}-{{b}^{2}}$

Answer

$\frac{ax}{\sin 	heta }-\frac{by}{\cos 	heta }={{a}^{2}}+{{b}^{2}}$

Answer

$\frac{ax}{\cos 	heta }-\frac{by}{\sin 	heta }={{a}^{2}}+{{b}^{2}}$

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