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  4. If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

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Q. If a number of ellipse be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latera recta pass through fixed points which can be

Conic Sections

Solution:

$t _{40518 \text { clliMORE }} e$ is a variable quantity
$\frac{x a e}{a^2}+\frac{y b^2}{a b^2}=1 \Rightarrow e x+y=a \Rightarrow y-a+e x=0$
it passes through $(0, a )$.
||ly other point is $(0,- a )$