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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.
The equation of the locus of the point whose distance from the point P and the line AB are equal, is:

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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