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For positive integers n1,n2, the value o...

For positive integers `n_1,n_2`, the value of the expression : `(1+i)^(n_1)+(1+i^3)^(n_1) +(1+i^5)^(n_2)+ (1+i^7)^(n_2)`, where `i= sqrt(-1)` is a real number if and only if :

A

`n_1=n_2+1`

B

`n_1=n_2-1`

C

`n_1=n_2`

D

`n_1gt0, n_2gt0`.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

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  2. If z1, z2, z3 are complex numbers such that |z1|= |z2|= |z3| =|1/z1+1/...

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  3. For positive integers n1,n2, the value of the expression : (1+i)^(n1)+...

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  4. If z1, z2 are two complex numbers satisfying the equation |(z1 +z2)/(z...

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  5. The equation z bar z+a bar z+bar a z+b=0, b in R represents a circle i...

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  6. If cos alpha+ cos beta + cos gamma = sin alpha+ sin beta +sin gamma= 0...

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  7. If x satisfies |x-1|+|x-2|+|x-3| ge6, then :

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  8. If 5le x le8, then :

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  9. If (x^2-5x+6)/(x^2-x+1) is negitive then :

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  10. Let z1 and z2 be nth roots of unity, which subtend a right angle at th...

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  11. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2- z3)= (1-i sq...

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  12. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is

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  13. If z and w are two non-zero complex numbers such that |zw|=1 and Arg (...

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  14. Let z and w be two non-zero complex numbers such that ∣z∣=∣w∣ and arg(...

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  15. Let z =x-iy and z^(1/3)= p+iq.Then (x/p+y/q)//(p^2+q^2) is equal to:

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  16. If |z^2-1|=|z|^2+1, then z lies on :

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  17. If z1a n dz2 are two nonzero complex numbers such that |z1+z2|=|z1|+|z...

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  18. If w= z/(z-i1/3) and |w|=1,then z lies on:

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  19. If a, b, c and u, v, w are complex numbers representing the vertices o...

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  20. If z^(2)+z+1=0, where z is a complex number, the value of (z+1/z)^(2)+...

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