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The line lx+my+n=0 is a normal to the circle S=x 2 +y 2 +2gx+2fy+c=0 if and only if: a)lg+mf+n=0 b)lg+mf-n=0 c)mg+lf+n=0 d)mg+lf-n=0 Plz explain..

The line lx+my+n=0 is a normal to the circle S=x2+y2+2gx+2fy+c=0 if and only if:


a)lg+mf+n=0


b)lg+mf-n=0


c)mg+lf+n=0


d)mg+lf-n=0


Plz explain..

Grade:12

1 Answers

Chetan Mandayam Nayakar
312 Points
11 years ago

the centre,i.e. the point (-g,-f) lies on the line lx+my +n=0,thus gl+fm-n=0

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