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Prove that the middle term in the expansion of `(1+x)^(2n)`is`(1.3.5.......(2n-1))/|___n.2^n.x^n`

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Prove that the middle term in the expansion of (1+x)^(2n)" is " (1.3.5....(2n-1))/(n!).2^(n)x^(n)

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 15-EXERCISE
  1. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  2. How many different numbers of 5 digits each (without repetition of dig...

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

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  4. Show that the points (-4, 0). (6, 4), (5, 0)and (0, -2) form a trapezi...

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  5. If p and q are the lengths of perpendiculars from the origin to the li...

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  6. Find the equation to the circle described on the common chord of the g...

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  7. Find the ratio in which the ZX plane divides the line segment joining ...

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  8. Evaluate :lim(xrarr0)(x-sinx)/x^3

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  9. If y=sinx^@.find dy/dx from defination.

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  10. Prove that sqrt2 irrational, (use the method of contradiction).

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  11. If x and y are odd integers, then xy is also an odd integer r examine ...

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  12. The probability of' the solving a problems in mathematics of three stu...

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  13. Scores of a batsman of 5 consecutive inings are 39, 51, 59, 62 and 74....

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  14. If alpha!=betaand atanalpha+b tanbeta=(a+b)tan((alpha+beta)/2),then sh...

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  15. Show that tanalphatanbeta=tan^2gammawhen tan(alpha-beta)/tanalpha+sin^...

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  16. Sum of the square of three different terms, which are in GP is s^2. If...

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  17. Draw the graph and find the common solution region of the . following ...

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  18. Solve.sqrt3x^2-sqrt2x+3sqrt3=0

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  19. If the roots of the quadratics x^2 - qx +p = 0 and x^2 - px + q = 0 (p...

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  20. Find the equation of a hyperbola whose eccentricity is 5/4 and the. co...

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