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 lines 4x+8y-1=0, 2x-8y+1=0

The locus of the point of intersection of the lines bxt -a yt = ab and bx + ay = abt is

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

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 equation of straight line joining the points of intersection of the lines 3x+2y+1=0 and x+y=3 to the intersection of the lines y-x=1 and 2x+y+2=0