One of the diagonals of a square is the portion of the line `x/2+y/3=2` intercepted between the axes. Then the extremities of the other diagonal are: (a) `(5,5),(-1,1)` (b) `(0,0),(4,6)` (c)`(0,0),(-1,1)` (d) `(5,5),4,6)`

The extremities of a diagonal of a rectangle are (0.0) and (4, 4). The locus of the extremities of the other diagonal is equal to

The condition on a and b , such that the portion of the line a x+b y-1=0 intercepted between the lines a x+y=0 and x+b y=0 subtends a right angle at the origin, is (a) a=b (b) a+b=0 (c) a=2b (d) 2a=b

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

A square has one vertex at the vertex of the parabola y^2=4a x and the diagonal through the vertex lies along the axis of the parabola. If the ends of the other diagonal lie on the parabola, the coordinates of the vertices of the square are (a) (4a ,4a) (b) (4a ,-4a) (c) (0,0) (d) (8a ,0)

The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0. It is given that the diagonals of the rhombus intersect at (1, 3) and one vertex, A of the rhombus lies on the line y=2x . Then the coordinates of vertex A are (8/5,(16)/5) (b) (7/(15),(14)/(15)) (6/5,(12)/5) (d) (4/(15),8/(15))

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.

Find the equation of the line through the intersection of the lines 3x+2y +5 = 0 and 3x - 4y +6 = 0 and the point (1,1)

If (-4,5) is one vertex and 7x-y+8 = 0 is one diagonal of a square, then the equation of the second diagonal is

Plot the following ordered pairs on a graph sheet. What do you observe? (i) (1,0), (3,0), (-2,0), (-5,0), (0,0), (5,0), (-6,0) (ii) (0,1),(0,3),(0,-2),(0,-5),(0,0),(0,5),(0,-6)

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.