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

If (1, 4) is the point of intersection of the lines 2x + by = 6 and 3 y = 8 + ax , then find the value of a -b

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

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

Find the point of intersection of the tangent lines to the curve y=2x^(2) at the points (1, 2) and (-1, 2) .

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