If common tangent to parabola `y^2=4x` and `x^2=4y` also touches the circle `x^2+y^2=c^2`, then find the value of C.

If tangent to the parabola y^2=8x at (2,-4) also touches the circle x^2+y^2=a . then find the value of a

Answer the following:If the tangent at (3,-4) to the circle x^2+y^2=25 touches the circle x^2+y^2+8x-4y+c=0 ,then find the value of c.

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is

If y=mx+4 is common tangent to parabolas y^(2)=4x and x^(2)=2by . Then value of b is

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

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.

The equation of the common tangent touching the parabola y^2 = 4x and the circle ( x - 3)^2 +y^2 = 9 above the x-axis is

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