Find the length of the common chord of the parabola `y^2=4(x+3)` and the circle `x^2+y^2+4x=0` .

Statement-1: Length of the common chord of the parabola y^(2)=8x and the circle x^(2)+y^(2)=9 is less than the length of the latusrectum of the parabola. Statement-2: If vertex of a parabola lies at the point (a. 0) and the directrix is x + a = 0, then the focus of the parabola is at the point (2a, 0).

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

Find the length of the common chord of the circle x^2+y^2+2hx+a^2=0 and x^2+y^2-2ky-a^2=0 .

The mid-point of the chord 2x+y-4=0 of the parabola y^(2)=4x is

The length of the common chord of the two circles x^2+y^2-4y=0 and x^2+y^2-8x-4y+11=0 is

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

The length of the common chord of the circles x^2+y^2+ax+by+c=0 and x^2+y^2+bx+ay+c=0 is

The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)^2+(y-6)^2=4 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.