Home
Class 11
MATHS
z1, z2, z3,z4 are distinct complex numbe...

`z_1, z_2, z_3,z_4` are distinct complex numbers representing the vertices of a quadrilateral `A B C D` taken in order. If `z_1-z_4=z_2-z_3a n d"a r g"[(z_4-z_1)//(z_2-z_1)]=pi//2` , the quadrilateral is a. rectangle b. rhombus c. square d. trapezium

Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3),z_(4) are the four complex numbers represented by the vertices of a quadrilateral taken in order such that z_(1)-z_(4)=z_(2)-z_(3) and amp backslash(z_(4)-z_(1))/(z_(2)-z_(1))=(pi)/(2) then the quadrilateral is a

If z_1,z_2,z_3,z_4 be the vertices of a quadrilaterla taken in order such that z_1+z_2=z_2+z_3 and |z_1-z_3|=|z_2-z_4| then arg ((z_1-z_2)/(z_3-z_2))= (A) pi/2 (B) +- pi/2 (C) pi/3 (D) pi/6

If the complex numbers z_1, z_2, z_3, z_4 taken in that order, represent the vertices of a rhombus, then

The points, z_1,z_2,z_3,z_4, in the complex plane are the vartices of a parallelogram taken in order, if and only if (a)z_1+z_4=z_2+z_3 (b)z_1+z_3=z_2+z_4 (c)z_1+z_2=z_3+z_4 (d) None of these