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

Algebra ->  Circles -> 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       Log On


   

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(39614) About Me  (Show Source):
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Answer by MathTherapy(10549) About Me  (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: highlight_green%28matrix%281%2C2%2C%22%280%2C%22%2C+%22-+3%29%22%29%29

Equation of circle: highlight_green%28x%5E2+%2B+%28y+%2B+3%29%5E2+=+20%29