ABCD is a rectangle. A circle passing through vertex C touches the sides AB and AD at M and N respectively. If the distance lof the line MN from the vertex C is P units then the area of rectangle ABCD is

ABCD is a rhombus. A line passing through C cuts extended line AD and AB at Q and P respectively. If QD=1/2AB . Then find the ratio AB to PB.

A triangle ABC is such that a circle passing through vertex C, centroid G touches sides AB at B. If AB=6, BC=4 then the length of median through A

In the adjoining figure if AB+AC=5AD and AC-AD=8 then the area of the rectangle ABCD is

A circle is drawn to pass through vertex P & to touch QR & RS at A & B of rectangle PQRS. If length of perpendicular from P onto AB is sqrt(7), then area of rectangle PQRS is.

ABCD is a rectangle and P,Q,R and S are mid- points of the sides AB,BC,CD and DA respectively.Show that the quadrilateral PQRS is a rhombus.

ABC is a right triangle, right - angled at the vertex A. A circle is drawn to touch the sides AB and AC at points P and Q respectively such that the other end points of the diameters passing through P and Q lie on the side BC. IF AB = 6 units, then the area (in sq. units) of the circular sector which lies inside the triangle is

ABCD is a square of unit area.A circle is tangent to two sides of ABCD and passes through exactly one of its vertices.The radius of the circle is:

Let ABCD be a rectangle such that AB=10 units and BC=8 units. Taking AB and AD as x and y axis respectively, find the coordinates of A, B, C and D.