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Circle x2+y2-6x-10y+c=0 does not touch or intersect the coordinate axes and the point (1,4) is inside the circle .find the set of the values of c.?

Circle x2+y2-6x-10y+c=0 does not touch or intersect the coordinate axes and the point (1,4) is inside the circle .find the set of the values of c.?

Grade:12

1 Answers

Pradeep Gandhe
24 Points
4 years ago
First complete the square for given circle equation
(X-3)2 + (Y-5)2+ C -9-25=0                             For point (1,4) to be inside the circle                (1-3)^2 + (4-5)^2 +C -9-25 C

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