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Find the centre and radius of the circle...

Find the centre and radius of the circle `(x+2)^(2)+(y+3)^(2)=5`

A

`(-2,-3)` and `sqrt(5)`

B

`(2,3)` and `sqrt(5)`

C

`(-3,-2)` and `5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`(x+2)^(2)+(y+3)^(2)=5`
`rArr(x+2)^(2)+(y+3)^(2)=(sqrt(5))^(2)`
Comparing with the equation of the circle
`(x-h)^(2)+(y-k)^(2)=a^(2)`
`h=-2,k=-3,a=sqrt(5)`
`:.` Centre of circle `=(h,k) =(-2,-3)`, and radius `a= sqrt(5)`.
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