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 2x-3y+8=0 and 4x+5y=6

Find the length of the perpendicular draw from the point (4,7) upon the straight line passing through the origin and the point of intersection of the lines 2x – 3y+ 14 = 0 and 5x + 4y = 7

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 equation of the straight line whichpasses through the point (1, 1) and the point of intersection of the lines 3x+2y=0 and x-2y=0

Find the equation of the parabola whose focus is (0,0) and the vertex is the point of intersection of the lines x+y=1 and x - y = 3.

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

Find the equation of the line parallel to yaxis and drawn through the point of intersection of the lines x-7y+5=0 and 3x+y=0 .

Find the equation of the circle passing through the point (2, 4) and centre at the point of intersection of the lines x-y=4 and 2x+3y=-7 .

Find the equation of the straight line passing through the point (2,1) and through the point of intersection of the lines x+2y = 3 and 2x-3y=4

If a circle passes through the point of intersection of the lines x+ y +1=0 and x+ lambda y-3=0 with the coordinate axis, then find the value of lambda .