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

A circle passing through the vertex C of a rectangle ABCD and touching its sides AB and AD at M and N, respectively. If the distance from C to the line segment MN is equal to 5 units, then find the area of the reactangle ABCD.

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

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. Coordinate of centre of the circle will be -

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. Equation of circle will be -

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.

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