A circle touches a straight line l x + my + n = 0 & cuts the circle x 2 + y 2 = 9…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
A circle touches a straight line lx + my + n = 0 & cuts the circle x2 + y2 = 9 orthogonally. The locus of centres of such circle is :
- (lx + my + n)2 = (l 2 + m2) (x2 + y2 – 9)
- (lx + my – n)2 = (l 2 + m2) (x2 + y2 – 9)
- (lx + my + n)2 = (l 2 + m2) (x2 + y2 + 9)
- none of these
Answer
(A) ( l x + my + n) 2 = ( l 2 + m 2 ) (x 2 + y 2 – 9)
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