Given that the vertices A, B, C of a quadrilateral ABCD lie on a circle. Also `angleA + angleC = 180^@` , then prove that the vertex D also lie on the same circle.

Can you draw the quadrilateral ABCD (given above)by constructing DeltaABD first and then fourth vertex 'C' ? Given reason.

If a quadrilateral ABCD, the bisector of angleC angleD intersect at O. Prove that angleCOD=(1)/(2)(angleA+angleB)

ABCD is a quadrilateral, then /_A+/_B+/_C+/_D=

Three particles of masses 1 kg, 2 kg and 3 kg are placed at the vertices A, B and C of an equiliateral triangle ABC. If A and B lie at (0, 0) and (1, 0) m, the co - ordinates of their centre of mass are

The points A,B,C are randomly selected on the circumference of a circle. Find the probability that the points lie on a semi circle.

ABCD is quadrilateral in which AB |\| DC and AD |\| BC . Find angle b, angle c, angle d .