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The complex number sinx+icos 2x and cosx...

The complex number `sinx+icos 2x and cosx-isin2x` are conjugate to each other for

A

`x = n pi`

B

`x = (n + 1//2) pi`

C

`x = 0`

D

No value of x

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The correct Answer is:
D
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - I
  1. ((2+3i)/(2-3i))-((2-3i)/(2+3i)) in the form of a + ib

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  2. The conjugate complex number of (2-i)/((1-2i)^2) is

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  3. The complex number sinx+icos 2x and cosx-isin2x are conjugate to each ...

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  4. The modulus of (sqrt3 + i)/((1 + i) (1 + sqrt3i)) is

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  5. If alphaand beta are real them |(alpha+i beta)/(beta+ialpha)|=

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  6. If (sqrt(3)i)^(100)=2^(99)(a+ib). Then shot that a^(2)+b^(2)=4

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  7. If alpha1,alpha2,alpha3 respectively denote the moduli of the complex ...

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  8. If (pi)/(2) and (pi)/(4) are the arguments of z(1) and barz(2) respe...

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  9. If z(1)=-1,z(2)=i then find Arg ((z(1))/(z(2)))

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  10. The mod-amplitude form of -sqrt3 - i

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  11. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

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  12. sqrt(-8 - 6i) is equal to

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  13. The value of sqrt(15 + 8i) + sqrt(15 - 8i) is equal to

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  14. If n is a multiple of 3 then omega^(n) + omega^(2n) =

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  15. (1 + omega) (1 + omega^(2)) (1 + omega^(3)) (1 + omega^(4)) (1 + omega...

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  16. If 1, omega , omega^(2) are the cube roots of unity, then prove that ...

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  17. The value of ((- 1 + sqrt-3)/(2))^(26) + ((- 1 - sqrt-3)/(2))^(26) is ...

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  18. If (1 + omega)^(7) = A + B omega then (A , B) =

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  19. If |3z-2|=5 then the locus of z is

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  20. If |z -2 - 3i| = 5 then the locus of z = x +iy is

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