Number of common chords of a parabola & a circle can be

The number of common chords of the parabola y=x^(2)-x and x=y^(2)-y is

The number of common chords of parabola x=y^(2)-6y+1 and y=x^(2)-6x+1 are

Number of common chords of the parabolas x=y^(2)-6y+9 and y=x^(2)-6x+9 are

Length of the common chord of the parabola y^(2)=8x and the circle x^(2)+y^(2)-2x-4y=0 is :

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 parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

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

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

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

Number of chords of a circle is ………..