If the common tangents to the parabola, `x^2 = 4y` and the circle, `x^2 + y^2 = 4` intersectat the point P, then the distance of P from theorigin, is.

Equation of common tangent to parabola y^2 = 2x and circle x^2 + y^2 + 4x = 0

The equation of a common tangent to the parabola y=2x and the circle x^(2)+y^(2)+4x=0 is

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

Show that the common tangents to the parabola y^(2)=4x and the circle x^(2)+y^(2)+2x=0 form an equilateral triangle.

The common tangent to the circle x^(2)+y^(2)=a^(2)//2 and the parabola y^(2)=4ax intersect at the focus of the parabola

The common tangents to the circle x^(2)+y^(2)=2 and the parabola y^(2)=8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQSR is

The common tangents to the circle x^2=y^2=2 and the parabola y^(2)=8x touch the circle at the points P,Q and the parabola at the points R,S. Then, the area (in sq units) of the quadrilateral PQRS is