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If a + ib = sqrt((u + iv)/(x + iy)) then...

If `a + ib = sqrt((u + iv)/(x + iy))` then the value of `a^2 + b^2` is:

A

`sqrt((u^2+v^2)/(x^2+y^2))`

B

`(u^2-v^2)/(x^2-y^2)`

C

can't be determined

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
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  4. The maximum value of absz when z satisfies the condition abs(z+2/z)=2 ...

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  5. The modulus of the complex number ((2 + isqrt(5)))/(1 + 2sqrt(2i)) is ...

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  6. Which one of the following is a rational number ?

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  7. Rational number (-18)/5 lies between consecutive integers :

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  8. Which one of the following statements is correct ?

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  9. Which one of the following statements is not correct ?

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  10. If x be a rational number and y be an irrational number, then :

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  11. A rational equvivalent to -24/20 with denominator 25 is :

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  12. Let a/b = c/d, (where a and b are odd prime numbers) . If c > a and d ...

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  13. Find the number of values of q so that p/q is always a recurring decir...

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  14. Find the number of values of q so that p/q is always a recurring decir...

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  15. 42% of a number is 357. What is 63% of that number?

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  16. The difference between the highest and lowest three digit number is :

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  17. When a two digit number is reversed, then the new number becomes 5/6 t...

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  18. The number of two digit numbers which on being reversed (i.e., their d...

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  19. The number of two digit numbers which are prime :

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