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Equation of unit circle concentric with ...

Equation of unit circle concentric with circle
`x^(2)+y^(2)+8x+4y-8=0` is

A

`x^(2)+y^(2)+8x+4y-8=0`

B

`x^(2)+y^(2)+8x+4y+19=0`

C

`x^(2)+y^(2)-8x+4y+19=0`

D

`x^(2)+y^(2)-8x-4y+19=0`

Text Solution

Verified by Experts

The correct Answer is:
A
:. g=4,f=2,c=-8
centre =(-4,-2)= centre of concentric circle aslo, radius of units circle =1
Required equation of circle is `(x+4)^(2)+(y+2)^(2)=1`
`x^(2)+y^(2)+8x+4y+19=0`
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