A circle with centre at `(15,-3)` is tangent to `y=x^2/3` at a point in the first quadrant. The radius of the circle is equal to

A circle of radius 2 has its centre at (2, 0) and another circle of radius 1 has its centre at (5, 0). A line is tangent to the two circles at point in the first quadrant. The y-intercept of the tangent line is

A circle of radius 2 has its centre at (2, 0) and another circle of radius 1 has its centre at (5, 0). A line is tangent to the two circles at point in the first quadrant. The y-intercept of the tangent line is

A circle of radius 2 has its centre at (2,0) and another circle of radius 1 has its centre at (5, 0).A line is tangent to the two circles at point in the first quadrant.The y-intercept of the tangent line is

A circle of radius 2 has its centre at (2, 0) and another circle of radius 1 has its centre at (5, 0). A line is tangent to the two circles at point in the first quadrant. The y-intercept of the tangent line is

The circle C_(1):x^(2)+y^(2)=3 , with centre at O, intersects the parabola x^(2)=2y at the point P in the quadrant. Let the tangent to the circle C_(1) at P touches other tqo circles C_(2)andC_(3) at R_(2)andR_(3) , respectively. Suppose C_(2)andC_(3) have equal radii 2sqrt(3) and centres Q_(2)andQ_(3) . respectively. If Q_(2)andQ_(3) lie on the y-axis, then

Consider a circle with the X and Y axes as tangents to it in the first quadrant.If the line x+3y=8 passes through the center of the circle and the radius of the circle equals k, then find the value of 3k

A circle with center in the first quadrant is tangent to y=x+10,y=x-6 and the Y-axis. Let (p,q) be the centre of the circle. If the value of (p+q)=a+bsqrta when a, binQ , then the value of |a-b| is

A circle with center in the first quadrant is tangent to y=x+10,y=x-6 and the Y-axis. Let (p,q) be the centre of the circle. If the value oif (p+q)=a+bsqrta when a, binQ , then the value of |a-b| is