Home
Class 12
MATHS
If z(1),z(2),z(3) are the vertices of a ...

If `z_(1),z_(2),z_(3)` are the vertices of a parallelogram, then the fourth vertex `z_(4)` opposite to `z_(2)` is _____

A

`z_(1) + z_(3) - z_(2)`

B

`z_(1) + z_(2) - z_(3)`

C

`z_(1) + z_(2) + z_(3)`

D

`z_(1) - z_(2) - z_(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (III. CHOOSE THE INCORRECT THE STATEMENTS)|5 Videos
  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (IV. CHOOSE THE ODD MAN OUT)|6 Videos
  • COMPLEX NUMBERS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (1 MARK)|20 Videos
  • APPLICATIONS OF VECTORA ALGEBRA

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS )|5 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    SURA PUBLICATION|Exercise 5 MARKS|4 Videos

Similar Questions

Explore conceptually related problems

The points z_(1)z_(2)z_(3)z_(4) in the complex plane are the vertices of a parallelgram taken in order if and only if :

If |z_(1)+z_(2)|=|z_1|+|z_2| then

If z_(1),z_(2)" and "z_(3) are any three complex numbers, then the fourth vertex of the parallelogram whose three vertices are z_(1),z_(2)" and "z_(3) taken in order is

Suppose z_(1),z_(2)andz_(3) are the vertices of an equilateral triangle inscribed in the circle |z| = 2. If z_(1)=1+isqrt3 then find z_(2)andz_(3) .

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

If |z-z_(1)|=|z-z_(2)| then the locus of z is :

Let the complex numbers z_(1),z_(2),z_(3)" and "z_(4) denote the vertices of a square taken in order. If z_(1)=3+4i" and "z_(3)=5+6i , then the other two vertices z_(2)" and "z_(4) are respectively

If the complex numbers z_(1), z_(2)" and "z_(3) denote the vertices of an isoceles triangle, right angled at z_(1), " then "(z_(1)-z_(2))^(2)+(z_(1)-z_(3))^(2) is equal to

If z_1, z_2 and z_3 , are the vertices of an equilateral triangle ABC such that |z_1 -i = |z_2 -i| = |z_3 -i| .then |z_1 +z_2+ z_3| equals: