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If the complex numbers z1, z2, z3, z4 ta...

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

A

`z_1 + z_3= z_2 + z_4`

B

`|z_1 - z_2| = |z_4 - z_3|`

C

`(z_1 - z_3)/(z_2 - z_4)` is purely imaginary

D

None of these

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A, B, C
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FIITJEE-COMPLEX NUMBER-ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
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  3. If |(z1 z- z2)/(z1 z+z2)|=k, (z1 , z2 ne 0) then

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  6. If |z1 + z2|=|z1| + |z2|, then one of the value of arguments of the co...

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  7. If the complex numbers z1, z2, z3, z4 taken in that order, represent t...

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  8. One vertex of the triangle of maximum area that can be inscribed in th...

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  9. If x, y, a, b are real numbers such that (x+iy)^(1//5)=a + ib and p = ...

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  10. Let z1, z2 be two complex numbers represented by points on the circle...

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  11. If f(x) and g(x) are two polynomials such that the polynomial h(x)=xf(...

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  12. The complex numbers satisfying |z+2|+|z-2|=8 and |z+6|+|z-6|=12

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  14. If z(1),z(2),z(3),…,z(n-1) are the roots of the equation z^(n-1)+z^(n-...

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  15. If ((1+i) z= (1-i))bar(z), then

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  16. Let two distinct complex numbers z1 and z2 both satisfy the equation ...

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  17. If z1 + z2 + z3 = A, z1 + z(2)omega+ z(3)omega^(2)= B, z1 + z(2) omeg...

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  18. A, B, C are the points representing the complex numbers z1, z2, z3 res...

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