Class 11

Math

Co-ordinate Geometry

Conic Sections

Prove that chord of contact of ellipse $a_{2}x_{2} +b_{2}y_{2} =1$ w.r.t. any point on the directrix is focal chord.

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If the foci of an ellipse are $(0,±1)$ and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.

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Find the sum of the focal distances of any point on the ellipse $9x_{2}+16y_{2}=144.$