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Question

Mathematics Question on Coordinate Geometry

The two diameters of a circle are segments of the straight lines x - y = 5 and 2x + y = 4. If the radius of the circle is 5, then the equation of the circle is

A

x2+ y2-6x+4y=12

B

x2+ y2-3x+2y=12

C

x2+ y2-6x+2y=12

D

x2+ y2-8x+6y-18=0

E

x2+ y2-8x+6y-7=0

Answer

x2+ y2-6x+4y=12

Explanation

Solution

The correct option is (A): x2+ y2-6x+4y=12