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find the ewuation of the circle which passes through the focus of the parabola x^2=4y and touches it at the point (6,9)

find the ewuation of the circle which passes through the focus of the parabola x^2=4y and touches it at the point (6,9)

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
focus is (0,1)

circle passes thru (0,1) and (6,9) – get 2 eqn from here

also slope of tangent to para and circle at (6,9) will be same --1 eqn from here

then solve it

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