find the locus of the centre of the circle which cuts two given circles orthogonally. Share with your friends Share 0 Ghanshyam Dhakar answered this Dear student, let circle which cuts two given circles orthogonallyC⇒x2+y2+2gx+2fy+c=0let 2 given circleC1 ⇒ x2+y2+2g1x+2f1y+c1=0C2 ⇒ x2+y2+2g2x+2f2y+c2=0use condition of orthogonality between C and C12gg1+2ff1=c+c1 ...1use condition of orthogonality between C and C22gg2+2ff2=c+c2 ..2eq1 - eq22gg1+2ff1-2gg1-2ff1=c+c1 -c-c22gg1-g2 +2ff1-f2=c1-c2for locus put -g=x and -f = y-2xg1-g2 -2yf1-f2=c1-c22xg1-g2 +2yf1-f2=c2-c1 Regards 7 View Full Answer
