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The equation of the circle which has a tangent 2x-y-1=0 at p(3,5) on it and with centre on x+y-5=0 is

The equation of the circle which has a tangent 2x-y-1=0 at p(3,5) on it and with centre on x+y-5=0 is

Grade:12

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
562-1005_Capture.PNG
Ankit kumar jha
28 Points
3 years ago
The equation of tangent is 2x-y-1=0 i. e. slope of tangent is 2. The equation of line perpendicular to the tangent is x+2y-13=0.This line will pass through the  center of the circle  and we can get the coordinate of the center of circle .You can get radius by using distance formula. And then you will be able to find the equation of the circle. 

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