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Question

Question: The equation of a diameter of circle \(x ^ { 2 } + y ^ { 2 } - 6 x + 2 y = 0\) passing through origi...

The equation of a diameter of circle x2+y26x+2y=0x ^ { 2 } + y ^ { 2 } - 6 x + 2 y = 0 passing through origin is.

A

x+3y=0x + 3 y = 0

B

x3y=0x - 3 y = 0

C

3x+y=03 x + y = 0

D

3xy=03 x - y = 0

Answer

x+3y=0x + 3 y = 0

Explanation

Solution

Centre (3, –1). Line through it and origin is

x+3y=0x + 3 y = 0.