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Question: The equation of the diameter of the circle x<sup>2</sup> + y<sup>2</sup> –6x + 2y – 8 = 0 is given ...

The equation of the diameter of the circle

x2 + y2 –6x + 2y – 8 = 0 is given by

A

x +3y = 0

B

x – 3y = 0

C

x – 2y = 0

D

x + 2y = 0

Answer

x +3y = 0

Explanation

Solution

x2 + y2 – 6x + 2y – 8 = 0 ...... (i)

centre (3, – 1)

Then, coordinates of the centre will satisfy the equation of the diameter.