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Find the locus of the point of intersection of two perpendicular lines each of which touches one of the two circles (x-a) 2 +(y) 2 =b 2 ,(x+a) 2 +(y) 2 =c 2 and prove that the bisectors of the angles between the straight lines always touch one or the other fixed circles.

Find the locus of the point of intersection of two perpendicular lines each of which touches one of the two circles (x-a)2+(y)2=b2 ,(x+a)2+(y)2=cand prove that the bisectors of the angles between the straight lines always touch one or the other fixed circles.

Grade:12th pass

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