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If ((1 - i)/(1+ i))^(100) = x + iy then ...

If `((1 - i)/(1+ i))^(100) = x + iy` then the value of `(x, y)` is:

A

(0,1)

B

(0,0)

C

(1,0)

D

(-1,0)

Text Solution

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The correct Answer is:
C
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
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  2. If 1,omega,omega^2,omega^3,...,omega^(n-1) be the n,nth roots of unity...

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  3. If ((1 - i)/(1+ i))^(100) = x + iy then the value of (x, y) is:

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  4. The inequality a + ib < c + id holds if

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  5. The points z1, z2, z3, z4 in the complex plane form the vertices of a ...

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

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  7. The maximum value of absz when z satisfies the condition abs(z+2/z)=2 ...

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

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

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

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  11. Which one of the following statements is correct ?

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

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

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

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

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

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

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  18. 42% of a number is 357. What is 63% of that number?

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

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

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