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Equation of a curve that would cut x 2 + y 2 - 2x - 4y - 15 = 0 orthogonally can be ?

Equation of a curve that would cut x2 + y2 - 2x - 4y - 15 = 0 orthogonally can be ?

Grade:12

1 Answers

Jitender Pal
askIITians Faculty 365 Points
13 years ago

Dear Rishi,

Any line passing through the centre of the given circle would meet the circle orthogonally. Hence the equation of such curve would be given as :

             (y-2) = lamda(x-1): where as lamda belongs to R.

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