If `5x - 12y - 65 = 0 and 5x - 12y + 26 = 0` are the equations of a pair of opposite sides of a square. Find its area.

If 5x- 12y+26=0 and 5x- 12y- 65 = 0 are the equations of a pair of opposite sides of a square, show that its area is 49 square units.

If px^2-10xy + 12y^2+ 5x - 16y - 3 = 0 represents a pair of straight lines, then value of p is :

If the lines 12x + 5y + 16 = 0 and 12 x+ 5y - 10 = 0 are tangent to a circle then the radius is :

If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C_1 of diameter 6, and if the centre of C_1 lies in the first quadrant, find the equation of a circle C_2 , which is concentric with C_1 and cuts intercept of length 8 on these lines.

The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals is 11 x + 7y = 9, find the equation of the other diagonal.

The sides of quadrilateral taken in order, are given by 3x + 11y -65 =0, 5x +y-39 = 0, -x + 5y + 13 = 0 and 11x-3y + 65 = 0 . Find the co-ordinates of the vertices of the quadrilateral.

Draw the graphs of equations : 5x - 6y + 30 = 0 , 5x + 4y - 20 = 0 Also find the vertices of the triangle formed by the above two lines and x-axis.

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.

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is: