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Question

Mathematics Question on circle

If a circle touches the lines 3x4y10=03x - 4y - 10 = 0 and 3x4y+30=03x - 4y + 30 = 0 and its centre lies on the line x+2y=0x + 2y = 0 then the equation of the equation of the circle is

A

x2+y2+4x2y11=0x^2 + y^2 + 4x - 2y - 11 = 0

B

x2+y2+2x4y11=0x^2 + y^2 + 2x - 4y - 11 = 0

C

x2+y24x+2y11=0x^2 + y^2 * 4x + 2y - 11 = 0

D

x2+y2+2xy11=0x^2 + y^2 + 2x - y - 11 = 0

Answer

x2+y2+4x2y11=0x^2 + y^2 + 4x - 2y - 11 = 0

Explanation

Solution

Answer (a) x2+y2+4x2y11=0x^2 + y^2 + 4x - 2y - 11 = 0