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Tangents are drawn from the point P(3, 4...

Tangents are drawn from the point P(3, 4) to the ellipse `x^2/9+y^2/4=1` touching the ellipse at points A and B.

A

`(3,0) and (0,2)`

B

`(-(8)/(5),(2sqrt(161))/(15)) and (-(9)/(5),(8)/(5))`

C

`(-(8)/(5),(2sqrt(161))/(15)) and(0,2)`

D

(3,0) and `(-(9)/(5),(8)/(5))`

Text Solution

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The correct Answer is:
D
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