Let C be the circle of radius 12 centred at `(0, 0)`. Then the length of the shortest path in the plane between `(8sqrt3, 0) and (0, 12sqrt2)` that does not pass through the interior of C is

Let C_(1) be the circle of radius r > 0 with centre at (0,0) and let C_(2) be the circle of radius r with centre at (r,0) .The length of the arc of the circle C_(1) that lies inside the circle C_(2) ,is

One circle has a radius of 5 and its centre at (0,5). A second circle has a radius of 12 and its centre at (12,0). What is the length of a radius of a third circle which passes through the centre of the second circle and both the points of intersection of the first two circles.

Find the radius and centre of the circle passing through the points (2,0), (6, 0) and (4, 2) .

Find the radius and centre of the circle passing through the points (2,0), (6, 0) and (4, 2) .

Let be the circle with centre at (1 , 1) and radius is 1 unit . It T is the circle centred at (0 , y) , passing through origin and touching the circle c externally , then the radius of T is equal to _

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to (1) (sqrt(3))/(sqrt(2)) (2) (sqrt(3))/2 (3) 1/2 (3) 1/4

If a circle drawn with origin as the centre passes through (13/(2),0) , then the point which does not lie in the interior of the circle is

If a circle drawn with origin as the centre passes through (13/(2),0) , then the point which does not lie in the interior of the circle is