If one of the sides of a square is `3x-4y-12=0` and the center is `(0,0)` , then find the equations of the diagonals of the square.

One diagonal of a square is 3x-4y+8=0 and one vertex is (-1,1), then the area of square is

One diagonal of a square is along the line 8x-15 y=0 and one of its vertex is (1, 2). Then the equations of the sides of the square passing through this vertex are a. 23 x+7y=9,7x+23 y=53 b. 23 x-7y+9=0,7x+23 y+53=0 c. 23 x-7y-9=0,7x+23 y-53=0 d.none of these

Four long, straight wires, each carrying a current of 5.0 A, are placed in a plane as shown in figure . The points of intersection form a square of side 5.0 cm. (a) Find the magnetic field at the centre P of the square. (b) Q_1, Q_2, Q_3 and Q_4 are points situated on the diagonals of the square and at a distance from P that is equal to the length of the diagonal of the square. Find the magnetic fields at these points.

The line 3x+4y-12=0 meets the coordinate axes at A and B. find the equation of the circle drawn on AB as diameter.

If (-4,7) is one vertex of a rhombus and if the equation of one diagonal is 5x - y + 7 =0 , then find the equation of another diagonal.

If (-4,7) is one vertex of a rhombus and if the equation of one diagonal is 5x-y+7=0, then find the equation of another diagonal.

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

Two sides of a rhombus lying in the first quadrant are given by 3x-4y=0a n d12 x-5y=0 . If the length of the longer diagonal is 12, then find the equations of the other two sides of the rhombus.

If (a, b) be an end of a diagonal of a square and the other diagonal has the equation x-y=a , then another vertex of the square can be