Home
Class 12
MATHS
[" 1,"z(2)" and "z(3)" be the co-ordinat...

[" 1,"z_(2)" and "z_(3)" be the co-ordinates of the vertices of a right isosceles triangle.Then "],[z_(1)bar(z_(2))=z_(2)bar(z_(3))=z_(3)bar(z_(1))],[(z_(1)-z_(2))^(2)=2(z_(2)-z_(3))(z_(3)-z_(2))],[z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)=1],[z_(1)+z_(2)+z_(3)=0]

Promotional Banner

Similar Questions

Explore conceptually related problems

z_(1)bar(z)_(2)+bar(z)_(1)z_(2)=2|z_(1)||z_(2)|cos(theta_(1)-theta_(2))

If z_(1);z_(2) and z_(3) are the vertices of an equilateral triangle; then (1)/(z_(1)-z_(2))+(1)/(z_(2)-z_(3))+(1)/(z_(3)-z_(1))=0

If z_(1),z_(2),z_(3) are the vertices of an equilateral triangle,then value of (z_(2)-z_(3))^(2)+(z_(3)-z_(1))^(2)+(z_(1)-z_(2))^(2)

Let z_(1), z_(2), z_(3) be three non-zero complex numbers such that z_(1) bar(z)_(2) = z_(2) bar(z)_(3) = z_(3) bar(z)_(1) , then z_(1), z_(2), z_(3)

If z_(1),z_(2),z_(3) are the vertices of an isosceles triangle right angled at z_(2), then prove that (z_(1))^(2)+2(z_(2))^(2)+(z_(3))^(2)=

z_(1),z_(2) and z_(3) are the vertices of a triangle ABC such that |z_(1)|=|z_(2)|=|z_(3)| and AB=AC. Then ((z_(1)+z_(3))(z_(1)+z_(2)))/((z_(2)+z_(3))^(2)) 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

For any complex numbers z_(1),z_(2) and z_(3),z_(3)Im(bar(z_(2))z_(3))+z_(2)Im(bar(z_(3))z_(1))+z_(1)Im(bar(z_(1))z_(2)) is

Complex numbers z_(1),z_(2),z_(3) are the vertices of A,B,C respectively of an equilteral triangle. Show that z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1).