Find the point of intersection of lines : `yt_1 = x+at_1^2` and `yt_2 = x+ at_2^2`

Find the point of intersection of the line, x/3 - y/4 = 0 and x/2 + y/3 = 1

Find the point of intersection of the lines 4x + 3y = 1 and 3x - y + 9 = 0 . If this point lies on the line (2k - 1) x - 2y = 4 , find the value of k. The above question can also be stated as : If the lines 4x + 3y = 1, 3x – y + 9 = 0 and (2k - 1) x - 2y = 4 are concurrent (pass through the same point), find the value of k.

Find the points of intersection of the line 2x+3y=18 and the cricle x^(2)+y^(2)=25 .

If the lines joining the origin to the points of intersection of the line y=mx+2 and the curve x^(2)+y^(2)=1 are at right-angles, then

Find the points of intersection of the line (x-2)/(-3)=(y-1)/2=(z-3)/2 and the plane 2x+y-z=3 .

Find the point of intersection of line passing through (0,0,1) and the intersection lines x+2u+z=1,-x+y-2z and x+y=2,x+z=2 with the x y plane.

Find the point of intersection of line passing through (0,0,1) and the intersection lines x+2u+z=1,-x+y-2za n dx+y=2,x+z=2 with the x y plane.

Find the equation of line of intersection of the planes 3x-y+ z=1 and x + 4 y -2 z =2.

Find the equations of the lines through the point of intersection of the lines x -y+1=0 and 2x-3y+5= 0 whose distance from the point (3, 2) is 7/5

Find the distance between the point (-1, -5, -10) and the point of intersection of line (x-2)/(3) = (y+1)/(4) = (z-2)/(12) and plane x-y + z =5