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Show that the middle term in the expansi...

Show that the middle term in the expansion of `(1+x)^(2n)` is `(1.3.5….(2n-1))/(n!) 2^(n)x^(n)`, where n is a positive integer.

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JBD PUBLICATION-MODEL PAPER (13)-EXERCISE
  1. Prove the following: cos^2 2x - cos^2 6x = sin 4x sin 8x

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  2. Simplify: (1-i)^2/(1+i)^2

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  3. Show that the middle term in the expansion of (1+x)^(2n) is (1.3.5….(2...

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  4. Write the general term in the expansion of (x^2-y)^6.

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  5. Using section formula, prove that the three points (-4,6,10), (2,4,6) ...

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  6. Find the component statement of the following and check whether they a...

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  7. In a group of 65 people, 40 like cricket, 10 like both cricket and ten...

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  8. If f (x) =x^3-1/x^3, find the value of f (x) +f (1/x).

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  9. Prove that:(tan^2 20- tan^2 theta)/(1- tan^2 20 tan^2 theta)=tan30 tan...

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  10. Prove, by Mathematical Induction, that for all n in N, 2.7^n+3.5^n-5...

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  11. How many different numbers between 100 and 1000 can be formed from the...

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  12. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

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  13. If the sum to infinity of the series 3+5r+7r^2+………is 44/9. Find r.

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  14. The line 2x-3y=4 is perpendicular bisector of the line AB. If the coor...

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  15. Find the equation of ellipse whose vertices are (pm13,0) and foci are ...

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  16. Find underset(xrarr1)lim f(x), where f(x)={(x^2-1, x le 1),(-x^2-1, x>...

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  17. Find the derivative of x^4-5 at x=10.

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  18. In a single throw of two dice, find the probability of total of 9 or I...

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  19. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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  20. A bag contains 5 black and 3 white balls. Two balls are drawn at rando...

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