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Let Cl : x^2+y^2 = 1; C2: (x-10)^2+y^2=1, C3:x^2+y^2-10x-42y + 457 =0 be three circles. A cirele C hasbeen drawn to touch circles C1 and C2 externally andC3 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 formedby joining the centres of rolling circles C1, C2and C3lies on |
| Answer» Let Cl : x^2+y^2 = 1; C2: (x-10)^2+y^2=1, C3:x^2+y^2-10x-42y + 457 =0 be three circles. A cirele C hasbeen drawn to touch circles C1 and C2 externally andC3 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 formedby joining the centres of rolling circles C1, C2and C3lies on | |