From the point A(4,3), tangent are drawn to the ellipse 16x2+9y2=1 to touch the ellipse at B and CE˙F is a tangent to the ellipse parallel to line BC and towards point A˙ Then find the distance of A from EF˙

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From the point {A}{({4},{3})}, tangent are drawn to the ellips

Question

From the point $A (4, 3),$ tangent are drawn to the ellipse $\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1$ to touch the ellipse at $B$ and $C \dot{E} F$ is a tangent to the ellipse parallel to line $B C$ and towards point $A ˙$ Then find the distance of $A$ from $E F ˙$

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Eleanor Discussed

From the point

A (4, 3),

tangent are drawn to the ellipse

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

to touch the ellipse at

B

and

C \dot{E} F

is a tangent to the ellipse parallel to line

B C

and towards point

A ˙

Then find the distance of

A

from

E F ˙

15 mins ago

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