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The line ax+by+c=0 is normal to the circ...

The line ax+by+c=0 is normal to the circle `x^(2)+y^(2)+2gy+2fy+d=0,`if

A

ag+bf+c=0

B

ag+bf+-c=0

C

ag-bf+c=0

D

ag-bf-c=0

Text Solution

Verified by Experts

The correct Answer is:
B
The centre of given circle is (-g,-f).
if the given line ax +by + c=0 is nomal to the circle, then it passes through the centre of circle.
:. `a(-g)+b(-f)+c=0`
`rArr ag+bf-c=0`
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