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If (x + iy)^3 = u + iv, then show that u...

If `(x + iy)^3 = u + iv`, then show that `u/x +v/y = 4(x^2 - y^2)`

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  • MODEL PAPER (11)

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JBD PUBLICATION-MODEL PAPER (12)-EXERCISE
  1. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

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  2. 1^2+2^2+3^3+.....+n^2=(n(n+1)(2n+1))/(6)

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  3. If ^nC3=56 and ^nP3=336, find n .

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  4. The English alphabet has 5 vowels and 21 consonants. How many words wi...

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  5. The sum of two numbers is 6 times their G.M. show that numbers are in ...

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  6. Between 1 and 31, n A.M's have been inserted in sucha a way that the r...

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  7. In which ratio is the line joining the points (1,3) and (2,7) is divid...

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  8. Find the equation of hyperbola whose foic are (0, pm12) and length of ...

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  9. Evaluate:underset(xrarr0)lim (1-cos2x)/(3tan^2x)

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  10. Differentiate: (acos x+bsinx+c)/(sinx) w.r.t.x.

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  11. Three coins are tossed once. Find the probability of getting at least ...

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  12. Three coins are tossed once. Find the probability of getting at most t...

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  13. If (x + iy)^3 = u + iv, then show that u/x +v/y = 4(x^2 - y^2)

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  14. Find the square root fo 1 - i.

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  15. Find all pairs of consecutive odd positive integers both of which are ...

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  16. Solve the given inequality -5 < (x - 2)/5 le 0

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  17. Find underset(xrarr0)f(x) where f(x)={(2x+3, xle0),(3(x+1), x>0):}

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  18. Find the derivative of (sin x + cos x) from the first principle.

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  19. Find the mean deviation from mean:

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  20. Find the mean for the following data: 13,17,16,14,11,13,10,16,18,12,17

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