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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

`9x^(2)+y^(2)-6xy- 54 x- 62y+241=0`

B

`x^(2) +9x^(2)+6xy-54 x+62y- 241=0`

C

`9x^(2) +9y^(2)+6xy-54 x-62y- 241=0`

D

`x^(2)+y^(2)-2xy+27 +31y-120=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of `AB" is" y-0 =-(1)/(3)(x-3)`
`x+3y-3=0`
`implies |x+3y-3|^(2)=10[(x-3)^(2)+(y-4)^(2)]`
on solving , we are getting
`9x^(2)+y^(2)-6xy- 54x-62y+241=0`
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