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The points, z1,z2,z3,z4, in the complex ...

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 `z_1+z_4=z_2+z_3` `z_1+z_3=z_2+z_4` `z_1+z_2=z_3+z_4` (d) None of these

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

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The correct Answer is:
B
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MOTION-COMPLEX NUMBER -EXERCISE - 2 (LEVEL -I) OBJECTIVE PROBLEMS - JEE MAIN
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  2. I f|z|=max{|z-1|,|z+1|}, then

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  3. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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  4. Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6...

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  5. If z1 and z2, are two non-zero complex numbers such that |z1+z2|=|z1|...

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  6. If the amplitude of (z-2 -3i) is pi/4, then the locus of z=x +iy is -

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  7. The locus of z which lies in shaded region is best represented by

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  8. If z1 & z2 are two complex number & if arg (z1+z2)/(z1-z2)=pi/2 but |z...

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  9. If magnitude of a complex number 4 – 3i is tripled and is rotated by a...

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  10. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

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  11. The equation |z-1|^2+|z+1|^2=2 represents (1) a circle of radius 1(2) ...

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  12. The point z1=3+sqrt(3)ia d nz2=2sqrt(3)+6i are given on la complex pla...

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  13. The points of intersection of the two curves |z – 3| = 2 and |z| = 2 i...

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  14. The region of Argand diagram defined by |z – 1| + |z + 1| le 4 is

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  15. If w = z/(z-1/3i) and |w| =1, then z lies on

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  16. If z = x + iy then the equation of a straight line Ax + By + C = 0 whe...

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  17. Points z1 & z2 are adjacent vertices of a regular octagon. The vertex...

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  18. If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

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  19. Let z1 and z2 be two nonreal complex cube roots of unity and (|z-z1|)^...

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  20. The number of solutions of equation |z|^2-(3+i)z-(3-i)barz-6=0 is (...

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