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Length of Subnormal

ntShow that t...

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ntShow that the tangents at the ends of a latus re tum of an ellipse intersect in the major axis.n

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Q. The tangents at the extremities of a latus rectum of an ellipse will intersect at the corresponding directrix.

Q. Find the equation of the tangents at the ends of the latus rectum of the ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

and also show that they pass through the points of intersection of the major axis and directions

Q. Area of the quadrilateral formed by tangents at the ends of latus rectum of an ellipse

\frac{x^{2}}{9} + \frac{y^{2}}{5} = 1

Q. The equation of tangents to the ellipse

9 x^{2} + 16 y^{2} = 144

at the ends of the latus rectum are

Q. If tangent to parabola

y^{2} = 4 a x

intersects ellipse

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

A

B,

then the locus of point of intersection of tangents at

A

B,

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Length of Subnormal

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