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A tangent to a curve at P(x, y) intersec...

A tangent to a curve at P(x, y) intersects x-axis and y-axis at A and B respectively. Let the point of contact divides AB in the ratio `y^2 : x^2`.
If a member of this family passes through (3, 4) then the equation of curve and area of the curve is

A

`x^(2) + y^(2) = 25`

B

`x^(2) + y^(2) - 2x = 19`

C

`x^(2) + y^(2) = 25x^(2) y^(2)`

D

`x^(2) + y^(2) = 7`

Text Solution

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The correct Answer is:
A
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