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If |z1| = |z2| and "arg" (z1) + "arg" (z...

If `|z_1| = |z_2| and "arg" (z_1) + "arg" (z_2) = pi//2,`, then

A

`z_1 z_2` is purely real

B

`z_1, z_2` is purely imaginary

C

`(z_1 + z_2)^2` is purely imaginary

D

arg`(z_1^(-1))+"arg" (z_2^(-1))=-pi//2`

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FIITJEE-COMPLEX NUMBER-ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
  1. If |z1| = |z2| and "arg" (z1) + "arg" (z2) = pi//2,, then

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  2. The point represented by the complex number 2+i rotated about the orig...

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  3. If z=-2 + 2 sqrt3i then z^(2n) + z^(n) + 2^(4n) may be equal to

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  4. The complex number satisfying |z+bar(z)|+|z - bar(z)|=2 and |z+i|+|z-i...

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  5. If |(z1 z- z2)/(z1 z+z2)|=k, (z1 , z2 ne 0) then

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  6. If z1 + a1 + ib1 and z2 = a2 + ib2 are complex such that |z1| = 1, |z2...

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  7. If from a point P representing the complex number z1 on the curve |z...

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

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

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

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

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

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

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

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  15. If Z= (1+ xi)^(n) be a complex number such that its real and imaginary...

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

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

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

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

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