Find the value of p so that the three lines 3x + y -2 = 0, px + 2y - 3 = 0 and 2x - y - 3 = 0, may intersect at one point.

Show that the three straight lines 2x-3y + 5 = 0 , 3x + 4y - 7 = 0 and 9x- 5y + 8 = 0 meet in a point

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

For what value of K are the three st. lines : 3x+y-2=0,kx+ 2y-3=0 and 2x-y-3=0 are concurrent ?

The two curves x^3 - 3x y^2 + 2 = 0 and 3x^2y - y^3 - 2 = 0 intersect at an angle of

For what value of K are the three st. lines : 2x+y-3=0, 5x + ky-3=0 and 3x-y-2=0 are concurrent ?

Find the point of intersection of the straight lines : 2x + 3y-6 = 0, 3x - 2y-6= 0 .

Using intergration, find the area bounded by the lines : 2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0

If the area of the parallelogram formed by the lines 2x - 3y + a = 0 , 3x - 2y - a = 0 , 2x - 3y + 3a = 0 and 3x - 2y - 2a = 0 is 10 square units , then a =

Find the point of intersection of the straight lines : x= 0, 2x-y +3 =0.

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .