Let c1:x2+y2=1;C2:(x−10)2+y2=1 and C3;x2+y2−10x−42y+457=0 be three circle.A circle C has been drawn to touch circles C1 and C2 externally and C3 internally. Now circles C1,C2 and C3 start rolling on the circumference of circle C in anticlockwise direction with constant speed. The centroid of the triangle formed by joining the centres of rolling circles C1,C2 and C3 lies on

Let c1:x2+y2=1;C2:(x−10)2+y2=1 and C3;x2+y2−10x−42y+457=0 be thr

1.	Let c1:x2+y2=1;C2:(x−10)2+y2=1 and C3;x2+y2−10x−42y+457=0 be three circle.A circle C has been drawn to touch circles C1 and C2 externally and C3 internally. Now circles C1,C2 and C3 start rolling on the circumference of circle C in anticlockwise direction with constant speed. The centroid of the triangle formed by joining the centres of rolling circles C1,C2 and C3 lies on
Answer» Let $c_{1} : x^{2} + y^{2} = 1; C_{2} : (x - 10)^{2} + y^{2} = 1 a n d C_{3}; x^{2} + y^{2} - 10 x - 42 y + 457 = 0$ be three circle.A circle C has been drawn to touch circles $C_{1}$ and $C_{2}$ externally and $C_{3}$ internally. Now circles $C_{1}, C_{2}$ and $C_{3}$ start rolling on the circumference of circle C in anticlockwise direction with constant speed. The centroid of the triangle formed by joining the centres of rolling circles $C_{1}, C_{2}$ and $C_{3}$ lies on