The centre of the circle $z ¯ z - (2 + 3 i) z - (2 - 3 i) ¯ z + 9$ = 0 is

( 2, -3 )

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( 2, 3 )

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( -2, -3 )

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( -2, 3 )

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Solution

The correct option is A
( 2, -3 )

Centre of the circle $z ¯ z + ¯ a z + a ¯ z + b$ = 0 is -a

Centre of the given circle $z ¯ z - (2 + 3 i) z - (2 - 3 i) ¯ z + 9$ = 0 is $2 - 3 i$ , i.e. (2,-3)

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