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The equation x^(2)+y^(2)-6x+8y+25=0 repr...

The equation `x^(2)+y^(2)-6x+8y+25=0` represents

A

a point (3, -4)

B

a pair of straight lines x=3, y=-4

C

a circle of non-zero radius

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`x^(2)+y^(2)-6x+8y+25=0`
`rArr (x-3)^(2)+(y+4)^(2)=0`
`rArr x-3=0` and `y+4=0`
`rArr x=3, y=-4`, which gives the point (3, -4).
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