Home
Class 12
MATHS
Let A(z1),B(z2) and C(z3) be the vertice...

Let `A(z_1),B(z_2) and C(z_3)` be the vertices of an equilateral triangle in the Argand plane such that `|z_1|=|z_2|=|z_3|.` Then (A) `(z_2+z_3)/(2z_1-z_2-z_3)`is purely real (B) `(z_2-z_3)/(2z_1-z_2-z_3)` is purely imaginary (C) `|arg(z_1/z_2)|=2 arg((z_3-z_2)/(z_1-z_2))|` (D) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A(z_(1)),B(z_(2)),C(z_(3)) be the vertices of an equilateral triangle ABC in the Argand plane, then the number (z_(2)-z_(3))/(2z_(1)-z_(2)-z_(3)) , is

If z_(1), z_(2) and z_(3) are the vertices of a triangle in the argand plane such that |z_(1)-z_(2)|=|z_(1)-z_(3)| , then |arg((2z_(1)-z_(2)-z_(3))/(z_(3)-z_(2)))| is

If A(z_(1)),B(z_(2)), C(z_(3)) are the vertices of an equilateral triangle ABC, then arg (2z_(1)-z_(2)-z_(3))/(z_(3)_z_(2))=

if the complex no z_(1),z_(2) and z_(3) represents the vertices of an equilateral triangle such that |z_(1)|=|z_(2)|=|z_(3)| then relation among z_(1),z_(2) and z_(3)

If z_(1),z_(2) and z_(3) are the vertices of a right angledtriangle in Argand plane such that |z_(1)-z_(2)|=3,|z_(1)-z_(3)|=5 and z_(2) is the vertex with the right angle then

If (5z_(1))/(7z_(2)) is purely imaginary then |(2z_(1)+3z_(2))/(2z_(1)-3z_(2))|=