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If the circle x^(2) + y^(2) + 4x + 2y + ...

If the circle `x^(2) + y^(2) + 4x + 2y + c = 0` bisects the cirucumference of the cirlce `x^(2) + y^(2) -2x -8y -d = 0` then c + d =

A

60

B

`-46`

C

`40`

D

`56`

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of the common chord `S_(1)-S_(2)=0`
`6x+10y+c+d=0` …..(i)
Line (i) is a diameter of circle (ii)
`:.` centre (1,4) lie on the line (i)
`6+40+c+d=0`
`c+d=-46`
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