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A real value of x satisfies the equation...

A real value of x satisfies the equation `(3-4 i x)/(3+4 i x)=alpha-i beta` `(alpha, beta in R)`, if ` alpha^(2)+beta^(2)=`

A

1

B

-1-2 i

C

2

D

-2

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The correct Answer is:
A
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  3. A real value of x satisfies the equation (3-4 i x)/(3+4 i x)=alpha-i b...

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  4. If ((1+i)/(1-i))^(x)=1, then x=

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  6. If z=x+ iy lies in the third quadrant then, (barz)/(z) also lies in th...

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  7. The real value of alpha for which the expression (1-i sin alpha)/(1+2 ...

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  8. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

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  9. |(1)/((2+i)^(2))-(1)/((2-i)^(2))|

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  10. ((1-i)/(1+i))^(2)=

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  11. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

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  12. If ((1+i)/(1-i))^(m)=1, then the least positive integral value of m is

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  13. If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^...

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  14. If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy then 2.5.10 …. (1+n^(2))=

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  15. If z=1+i then the multiplicative inverse of z^(2) is

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  16. If x+i y=sqrt((a+i b)/(c+i d)) then (x^(2)+y^(2))^(2)=

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  17. If a=cos theta+i sin theta then (1+a)/(1-a)=

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  18. The modulus and amplitude of (1 + i)/(1-i) are

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  19. If we express ((cos 2 theta-i sin 2 theta)^(4)(cos 4 theta+i sin 4 ...

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  20. In the argand diagram the points representing the complex numbers 7 + ...

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