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Secant of a Curve y =f(x)

Tangents to t...

Question

Tangents to the ellipse $b^{2} x^{2} + a^{2} y^{2} = a^{2} b^{2}$ makes angles $θ_{1}$ and $θ_{2}$ with major axis such that $c o t θ_{1} + c o t θ_{2} = k$ .Then the locus of the point of intersection is

A

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B

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C

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D

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Solution

The correct option is B
Apply sum of the slopes = $\frac{2 x_{1} y_{1}}{x_{1}^{2} - a^{2}}$

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Secant of a Curve y =f(x)

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