The sides AB,BC , CD and DA of a quadrilateral have the equations `x+2y=3,x=1,x-3y=4and5x+y+12=0` repectively . Find the angle between the diagonals AC and BD.

The side AB,BC,CD and DA of a quadrilateral are x+2y=3, x=1, x-3y=4, 5x+ y+12=0 respectively. The angle between diagonals AC and BD is

The side AB,BC,CD and DA of a quadrilateral are x+2y=3, x=1, x-3y=4, 5x+ y+12=0 respectively. The angle between diagonas AC and BC is

Let the equations of the sides PQ, QR, RS and SP of a quadrilateral PQRS are x+2y-3=0, x-1=0, x-3y-4=0 and 5x+y+12=0 respectively. If theta is the angle between the diagonals PR and QS, then the value of |tan theta| is equal to

Let the equations of the sides PQ, QR, RS and SP of a quadrilateral PQRS are x+2y-3=0, x-1=0, x-3y-4=0 and 5x+y+12=0 respectively. If theta is the angle between the diagonals PR and QS, then the value of |tan theta| is equal to

The sides AB and AD of a parallelogram ABCD are 2x-y+1=0 and x+3y-10=0 respectively and C is the point (-1, -2) . Find the equation of the diagonals AC and BD.

The sides of a triangle are OA, OB, AB and have equations 2x-y=0, 3x+y=0, x-3y+10=0 , respectively. Find the equation of the three medians of the triangle and verify that they are concurrent.

The sides AB and AD of a parallelogram ABCD are 2x-y+1=0 and x+3y-10=0 respectively and C is the point (-1, -2) . Find the equation of the diagonals AC.

The three sides AB, BC, CA of a triangle are 5x - 3y +2 = 0,x-3y-2=0 and x+y-6=0 respectively. Find equation of the altitude through the vertex A.

Three sides AB,AC and CA of triangle ABC are 5x-3y+2=0,x-3y-2=0 and x+y-6=0 respectively.Find the equation of the altitude through the vertex A.