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 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 parallelogram A circle passing through the points A and B intersect the sides AD and BC at the points E and F repectively . Prove that the four points E, F , C ,D are concyclic.

A straight line passing through P(3,1) meets the coordinate axes at Aa n dB . It is given that the distance of this straight line from the origin O is maximum. The area of triangle O A B is equal to

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 -

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. If (a, 0) is lying inside the circumscribe circle then the expected value of a will be -

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

ABCD is a parallelogram. A circle passing through C and D intersects AD and BC at the points E and F. Prove that the four points E, A, B, F are concyclic.

P, Q, R and S are the mid-point of the sides AB, BC, CD and DA of the parallelogram ABCD respectively. If the area of the ABCD be 88 sq.cm, then the area of the PQRS is

If veca, vecb and vecc are the position vectors of the vertices A,B and C. respectively , of triangleABC . Prove that the perpendicualar distance of the vertex A from the base BC of the triangle ABC is (|vecaxxvecb+vecbxxvecc+veccxxveca|)/(|vecc-vecb|)

The straight lines 4x + 3y = 12 and 4x - 3y = 12 intersect the x-axis at A and B respectively. If the lengt of the perpendicular drawn from C to AB be 4 units, then area of the DeltaABC is