A circle C whose radius is 1 unit, touches the x-axis at point A. The centre Q of C lies in first quadrant. The tangent from origin O to the circie touches it at T and a point P lies on it such that `DeltaOAP` is a right angled triangle at A and its perimeter is 8 units. The length of `QP` is

A circle C whose radius is 1 unit, thuches the x-axis at point A. The centre Q of C lies in first quadrant. The tangent from origin O to the circle touches it at T and a point P lies on it such that Delta OAP is a right angled triangle at A and its perimeter is 8 units. Equation of tangent OT is

A circle touches both the axes and its centre lies in the fourth quadrant.If its radius is 1 then find the equation of circle.

A circle of radius 5 units touches both the axes and lies in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction of x-axis, then its equation in new position is:

circle is drawn through the point (2,0) to cut intercept of length 5 units on the x -axis. If the centre lies in the first quadrant then its equation is