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Definition of a circle

Question

The coordinates of the point on the circle x2+y212x4y+30=0, which is farthest from the origin, are 

Moderate
Solution

Only the point (9, 3) lies on the given circle.



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The set of values of a for which the point (2a, a+1) is an interior point of the larger segment of the circle x2+y2-2x-2y-8=0made by the chord x-y+1=0,is 


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