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

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

A

`(c^(2)+d^(2))/(a^(2)+b^(2))`

B

`(a^(2)-b^(2))/(c^(2)+d^(2))`

C

`sqrt((a^(2)+b^(2)/(c^(2)+d^(2)))`

D

`(a^(2)+b^(2))/(c^(2)+d^(2))`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  4. If a=cos theta+i sin theta then (1+a)/(1-a)=

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  9. The conjugate of ((2 + i)^(2))/(3+i) in the form of a + ib is

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  10. If z(2-i)=3+I,z^(20)=

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  11. Let z(1) and z(2) be n^(th ) roots of unity which subtend a right angl...

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  12. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

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  13. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

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  18. The smallest positive integer for which(1 + i)^(2n)=(1 -l)^(2n) is

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  19. The real part of (1)/(1+cos theta+i sin theta) is

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