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

The number of common chords of the parabolas x=y^(2)-6y+11 and y=x^(2)-6x+11 is 1 (b) 2 (c) 4 (d) 6

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

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

The length of the common chord of the parabolas y^(2)=x and x^(2)=y is

The number of common tangents to the parabola y^(2)=8x and x^(2)+y^(2)+6x=0 is

vertex of the parabola 9x^(2)-6x+36y+9=0 is

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

Equation of a common chord of the circles x ^(2) + y ^(2) + 6x -10 y + 9=0 and x ^(2) + y ^(2) - 10 x + 6y + 25=0 is

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

Show that the common chord of the circles x^(2)+y^(2)-6x-4y+9=0andx^(2)+y^(2)-8x-6y+23=0 paas through the centre of the second circle and find its length.