Prove that the triangle formed by the points `1,(1+i)/(sqrt(2)),a n di` as vertices in the Argand diagram is isosceles.

The area of the triangle formed by the complex numbers z, iz, and z + iz in the Argand's diagram is

Prove that the values of 4sqrt(-1) are pm (1)/(sqrt(2))(1 pm i) .

Find the area of the square formed by the points (0, -1), (2, 1) (0, 3) and (-2, 1) as vertices.

If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), and (2b ,2a) is 2qdotu n i t s , then the area of the triangle whose vertices are (a+b ,a-b),(3b-a ,b+3a), and (3a-b ,3b-a) will be_____

Find the type of triangle formed by (1,-1), (1,1) and (- sqrt(3), sqrt(3))

Prove that the points (0,0) (3, sqrt(3)) and (3, -sqrt(3)) are the vertices of an equilateral triangle.

Consider the parabola y^2 = 8x. Let Delta_1 be the area of the triangle formed by the end points of its latus rectum and the point P( 1/2 ,2) on the parabola and Delta_2 be the area of the triangle formed by drawing tangents at P and at the end points of latus rectum. Delta_1/Delta_2 is :

All points lying inside the triangle formed by the points (1, 3), (5,0) and (-1, 2) satisfy