Home
Class 12
MATHS
Complex numbers z(1), z(2), z(3) and z(4...

Complex numbers `z_(1), z_(2), z_(3)` and `z_(4)` correspond to the points A, B, C and D respectively, on a circle `abs(z) = 1`. If `z_(1) + z_(2) + z_(3) + z_(4) = 0`. ThenABCD is necessarily

A

a rectangle

B

a square

C

a rhombus

D

a parallelogram

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 1 : Single Option Correct Type (1 Mark) )|18 Videos
  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Marks) )|5 Videos
  • COMPLEX NUMBERS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 2 : Single Option Correct Type (2 Marks))|15 Videos
  • CIRCLES

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More One Option Correct Type)|2 Videos
  • CONIC SECTIONS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : One or More than One Option Correct Type)|6 Videos

Similar Questions

Explore conceptually related problems

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).

Complex numbers of z_(1),z_(2),z_(3) are the vertices A, B, C respectively, of on isosceles right-angled triangle with right angle at C. show that (z_(1) - z_(2))^(2) = 2 (z_(1) - z_(3)) (z_(3)- z_(2))

The complex number z_(1),z_(2),z_(3) are the vertices A, B, C of a parallelogram ABCD, then the fourth vertex D is:

Statement -1 : For any four complex numbers z_(1),z_(2),z_(3) and z_(4) , it is given that the four points are concyclic, then |z_(1)| = |z_(2)| = |z_(3)|=|z_(4)| Statement -2 : Modulus of a complex number represents the distance form origin.

Complex numbers z_(1),z_(2),z_(3) are the vertices A,B,C respectively of an isosceles right angled trianglewith right angle at C and (z_(1)-z_(2))^(2)=k(z_(1)-z_(3))(z_(3)-z_(2)) then find k.

Let the points A, B, C and D are represented by complex numbers Z_(1), Z_(2),Z_(3) and Z_(4) respectively, If A, B and C are not collinear and 2Z_(1)+Z_(2)+Z_(3)-4Z_(4)=0 , then the value of ("Area of "DeltaDBC)/("Area of "DeltaABC) is equal to

If z_(1) and z_(2) lies on |z|=9 and |z-3-4i|=4 respectively,find minimum possible value of |z_(1)-z_(2)|( A) 0(B)5(C)13 (D) 2