Let two sides of a rectangle of area 20 sq. units are along lines `x - y = 0` and `x + y = 2`, then the locus of the point of intersection of diagonals is a

Locus of points of intersection of lines x=at^(2),y=2at

The sides of a rectangle are 20 units and 10 units respectively and are parallel to the coordinate axes. If the point of intersection of its diagonals be (4, -2), then find the four vertices of the rectangle.

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

Two sides of a parallelogram are along the lines x+y=3 and x-y+3=0 .If its diagonal intersect at (2,4) then one of its vertex is

Two sides of a rhombus are along the lines x - y + 1 = 0 and 7 x - y - 5 = 0 . If its diagonals intersect at ( - 1, -2) , then which one of the following is a vertex of this rhombus ?

The area of triangle (in sq units) formed by the lines x^(2)-4y^(2)=0 and x=a, is