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

A line is drawn from a point p(x,y) on curve y=f(x), making an angle with the x-axis which is supplementaty 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 the first, if drawn from p(x,y) meeting the y-axis at B. If OA=OB, where O is origin, find all curve which passes through (1,1)

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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