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A line is drawn from a point P(x, y) on ...

A line is drawn from a point `P(x, y)` on the curve `y = f(x),` making an angle with the x-axis which is supplementary to the one made by the tangent to the curve at `P(x, y).` The line meets the x-axis at A. Another line perpendicular to it drawn from `P(x, y)` meeting the y-axis at B. If `OA = OB,` where `O` is the origin, theequation of all curves which pass through (`1, 1)` is

A

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

B

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

C

`x^(2) - y^(2) + 2xy + 1 = 0`

D

`x^(2) - y^(2) + 2xy - 1 = 0`

Text Solution

Verified by Experts

`x^(2) + 2xy - y^(2) = c`
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