ABCD is a square of side length 'a'. Its side AB slides between x and y-axes in first quadrant. The locus of the foot of perpendicular drooped from the point E on the diagonal AC (where E is the midpoint of side AD) is

ABCD is a square of side length ‘a’. Its side AB slides between x and y-axes in first quadrant. Find the locus of the foot of perpendicular dropped from the point E on the diagonal AC, where E is the midpoint of the side AD.

ABCD is a square whose side is a. Taking AB and AD as axes, find the equation of the circle circumscribing the square.

ABCD is a square with side a. If AB and AD are taken as coordiate axes. Then the equation of the circle circumseribing the square is.

ABCD is a square, the length oh whose side is a. taking AB and AD as coordinates axes, the equation of the circle passing through the vertices of the square is

In DeltaABC , D is the midpoint of side AB. Line DE|| side BC. A-E-C . Prove that pont E is the midpoint of side AC.

ABCD is a square of side 2a. Taking the centre of the square as origin and axes parallel to the sides AB and AD. The coordinates of the vertices of the square are

The side AB of a square ABCD is parallel to the x-axis. Find the slopes of all its sides. Also, find : the slope of the diagonal AC.

ABCD is a square, the length of whose side is a. Taking AB and AD as the coordinate axes, the equation of the circel passing through the ceteices of the square is

ABCD is a square, the length of whose side is a. Taking AB and AD as the coordinate axes, the equation of the circel passing through the ceteices of the square is