SOLUTION: Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle

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Question 1023668: Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
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Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!

Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the circle at B, find the coordinates of the centre of the circle and equation of the circle 
Coordinates of center: 

Equation of circle:  

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