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Grade 12Analytical Geometry

Show that the line lx+my+n=0 is normal to the circle if and only if gl+mf=n

Profile image of Suman
6 Years agoGrade 12
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1 Answer

Profile image of Arun
6 Years ago
Dear Suman
 
if equatio

if Equation of circle is-

x^2 + y^2 + 2gx + 2fy + c = 0

 

then

normal lx + my + n akwwys passes through its centre

hence

 

-lg - mf + n = 0

hence 

lg + mf = n