If the line `(x-1)/(2)=(y-2)/(3)=t` intersects the line x+ y=8,then t is

Show that the two line (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect. Find also the point of intersection of these lines.

If the straight line (x)/(a)+(y)/(b)=1 passes through the line point of intersection of the lines x+y=3 and 2x-3y=1 and is parallel to x-y-6=0, find a and b

The graph of the equation y=2x^(2)-3x+1 intersect the line y=0 at

Find the equation of the line passing through the point P(4,6,2) and the point of intersection of the line (x-1)/(3)=(y)/(2)=(z+1)/(7) and the plane x+y-z=8^(3)