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Equation of the circle concentric with t...

Equation of the circle concentric with the circle
` x^(2) + y^(2) + 8x + 10 y - 7 = 0 ` , and passing through the centre of the circle ` x^(2) + y^(2) - 4x - 6y = 0 `,is

A

`x^(2)+y^(2)+8x+10y +59=0`

B

`x^(2)+y^(2)+8x+10y-59=0`

C

`x^(2)+y^(2)-4x-6y+87=0`

D

`x^(2)+y^(2)-4x-6y-87=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Concentric with `(x+4)^(2)+(y+5)^(2)=48implies` centre is (-4,-5)
Passes through centre of `(x-2)^(2)+(y-3)^(2)=13`, i.e., (2,3)
Radius `sqrt((-4,-2)^(2)+(-5-3)^(2))=10`
`implies` Circle: `(x+4)^(2)+(y+5)^(2)=100" "implies" "x^(2)+y^(2)+8x+10y-59=0`
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