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Show that: 1+i^10+i^100+i^1000=2...

Show that: `1+i^10+i^100+i^1000=2`

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Prove that : 1+ i^10+i^100-i^1000=0 .

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JBD PUBLICATION-MODEL PAPER (1)-EXERCISE
  1. Prove that: ((sin 7x + sin 5x) + (sin 9x + sin 3x))/((cos7x + cos5x) +...

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  2. Prove that: (cosx-cosy)^2 +(sinx-siny)^2=4 sin^2frac (x-y)(2)

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  3. Show that: 1+i^10+i^100+i^1000=2

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  4. Find the coefficients of x^(4) in the expansions of (2 - x + 3x^(2...

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  5. Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are ver...

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  6. Find out which of the following sentences are statements and which are...

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  7. Find out which of the following sentences are statements and which are...

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  8. Combine the following statements using "if and only if' p: if the sum ...

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  9. Combine the following statements using "if and only if' p: if the sum ...

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  10. Assume that P(A) = P(B). Show that A = B

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  11. Let A={1,2,3}, B={2,3,4} and C={4,5,6}.verify that: Axx(BcapC)=(AxxB)c...

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  12. Prove that : tan 4 theta= (4 tan theta(1-tan^2 theta)) /(1-6 tan^2 t...

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  13. If sinx=3/5, cosy=-12/13, where x and y both lie in second quadrant, f...

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  14. Use principle of mathematical induction to prove that:1+2+3+……….+n=(n(...

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  15. In how many ways can 6 girls and 4 boys be seated in a row so that no ...

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  16. Determine the value of n if ^(n)C3: ^nC2=5:1.

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  17. Which term of the sequence 24, 23 1/4, 22 1/2, 21 3/4, ….. is the firs...

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  18. If the G.P's 5,10,20,…………and 1280,640, 320…………..have their nth terms e...

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  19. The base of an equilateral triangle with side 2a lies along the y-axis...

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  20. Find the equation of the circle passing through (0,0) and making inte...

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