A line touches the circle `x^2+y^2=2` and the parabola `y^2=8x`. Show that its equation is `y=+-(x+2)`.

Find the area of the region common to the circle x^2+y^2=9 and the parabola y^2=8x .

The intercept made by the parabola y^2=8x on the line 2x+y=8 , is :

Area above the X-axis, bounded by the circle x^(2)+y^(2)-2ax=0 and the parabola y^(2)=ax is

Find the area lying above the X-axis and included between the circle x^2+y^2=8x and the parabola y^2=4x .

If the straigth line y=mx+c touches the circle x^2+y^2-4y=0 ,then the value of c will be

The vertex of the parabola y^2-3x+8y+31=0 , is

Circle x ^(2) + y^(2)+6y=0 touches

A circle is concentric with the circle x^2+y^2-6x+12y+15=0 and has area double of its area. The equation of the circle is