A circle with radius unity has its centre on the positive y-axis. If this circle touches the parabola `y= 2x^2` tangentially at the point P and Q then the sum of the ordinates of P and Q, is-

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

A circle touches the line y = x at the point (2, 2) and has it centre on y-axis, then square of its radius is

A circle centre (1,2) touches y-axis. Radius of the circle is

If the normals at two points P and Q of a parabola y^2 = 4x intersect at a third point R on the parabola y^2 = 4x , then the product of the ordinates of P and Q is equal to

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Radius of the circle touching the parabola y^2=4x at the point P and passing through its focus is

A line intersects y-axis and x-axis at the points P and Q respectively. If (2, 5) is the mid point of PQ then find the co ordinates of P and Q.

A circle is drawn whose centre is on the x - axis and it touches the y - axis. If no part of the circle lies outside the parabola y^(2)=8x , then the maximum possible radius of the circle is

A circle is drawn whose centre is on the x - axis and it touches the y - axis. If no part of the circle lies outside the parabola y^(2)=8x , then the maximum possible radius of the circle is