`x^2+y^2=9"and"x^2+y^2-10 x+9=0` find the length of common chord

Consider the circle x^(2)+y^(2)=9 and x^(2)+y^(2)-10x+9=0 then find the length of the common chord of circle is

Let L_1 be the length of the common chord of the curves x^(2) +y^(2) = 9 and y^(2) =8x and L_ 2 be the length of the latus rectum of y^(2) =8x, then

Find all the common tangent to the circles x^(2)+y^(2)-2x-6y+9=0 and x^(2)+y^(2)+6x-2y+1=0. Find the length of the direct common tangent and indirect common tangent.

If the circles x^(2)+y^(2)-2 x-2 y-7=0 and x^(2)+y^(2)+4 x+2 y+k=0 cut orthogonally, then the length of the common chord of the circles is

Let L_(1) be the length of the common chord of the curves x^(2)+y^(2)=9 and y^(2)=8x and L_(2) be the length of the latus rectum of y^(2)=8x , then

Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^2-8x-6y+23=0 is the diameter of the second circle and also find its length.

Show that the common chord of the circle cles x^2 + y^2 - 6x - 4y + 9 = 0 and x^2 + y^2 - 8x - 6y + 23 = 0 is the diameter of the second circle and also find its length.

Show that the common chord of the circles x^2+y^2-6x-4y+9=0 and x^2+y^2-8x-6y+23=0 is the diameter of the second circle and also find its length.