If the points `(a, 0), (b,0), (0, c)`, and `(0, d)` are concyclic `(a, b, c, d > 0)`, then prove that `ab = cd`.

Prove that the points A(4, 0), B(6, 1), C(4, 3) and D(3, 2) are concyclic.

The distinct points A(0,0),B(0,1),C(1,0), and D(2a,3a) are concyclic than

Consider the points A(0, 0, 0), B(5, 0, 0), C(3, 0, 4) and D(0, 4, 3). The points A, B, C and D are-

If a+b+c=1 and a>0,b>0,c>0 then prove that ab^2c^3le1/(432) .

The points (-a, -b), (0, 0), (a, b) and (a^2,ab) are (a)Collinear (b) vertices of a reotangle (c) Vertices of an parallelogram (d) None of these

Prove that the points A (9,0) , B(9,6) , C (-9 , 6) and D (-9,0) are the vertices of a rectangle .

Statement 1: Points A(1,0),B(2,3),C(5,3), and D(6,0) are concyclic.Statement 2: Points A,B,C, and D form an isosceles trapezium or AB and CD meet at E. Then EA.EB=EC.ED.

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

If abs((a,b,a-b),(b,c,b-c),(2,1,0))=0 , then prove that a,b,c are in GP.