The radius of a circle passing through origin and touching the parabola `y^(2)=8x` at `(2,4)` is r ,then `r^(2)` is equal to

If the radisu of the circle passing through the origin and touching the line x+y=2 at (1, 1) is r units, then the value of 3sqrt2r is

The radius of the circle passing through the point (8,-3) and touching the curve x^(2)+4y^(2)=25 at (3,2)

Radius of the circle that passes through the origin and touches the parabola y^(2)=4ax at the point (a,2a) is (a) (5)/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt((5)/(2))a (d) (3)/(sqrt(2))a

Let the tangent to the circle x^(2) + y^(2) = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then r^(2) is equal to :

The radius of circle, touching the parabola y^(2)=8x at (2, 4) and passing through (0, 4), is

Centre of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2 is

The radius of the least circle passing through the point (8,4) and cutting the circle x^(2)+y^(2)=40 orthogonally is

Radius of the largest circle passing through the focus of the parabola y^2 = 4x and lying inside the parabola is…

The radius of the circle, which touches the parabola y^2 = 4x at (1,2) and passes through the origin is: