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'Prove that the co-efficient of x^n of t...

'Prove that the co-efficient of x^n of the expansion of (1+x)^(2n) is the double of the coefficient of x^n of the expansion of '(1+x)^(2n-1)'

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
  1. Value of i^n+i^(n+1)+i^(n+2)+i^(n+3)(where i=sqrt-1)

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  2. If, the number of-diagonals of a- polygon is 44. Find the number of si...

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  3. 'Prove that the co-efficient of x^n of the expansion of (1+x)^(2n) is...

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  4. The sum of P terms of an AP is P^2. Find the common difference.

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  5. Find the co-ordinate of the point which is equidistance from (alpha, 0...

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  6. Calcualte the angle between the straight linesx+sqrt3 y+2=0and y+5=0

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  7. If f'(c) is the -derivative of f(x) at x= c,then show that lim(xrarrc...

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  8. Evaluate :lim(xrarr3)(x^2-9)/(sqrt(x-2)-sqrt(4-x))

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  9. 4 cards are drawn from a well - shuffled deck of 52 cards. What is the...

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  10. If the variance of a distribution is 4 coefficient of variation is 5%,...

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  11. If f(x)=cos(logx),show that f(x)f(y)-1/2[f(x/y)+f(xy)]=0

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  12. Prove that cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(s...

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  13. Solve : sectheta-1=(sqrt2-1)tantheta

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  14. By mathematical induction show that 3^n>n^3when nge4. N is an integer.

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  15. Find the co-efficient of 1/xof the expansion of (1+x)^n(1+1/x)^nwhere ...

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  16. Find the sum up to n terms :n.1+(n-1).2+(n-2)3+(n-3).4+....

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  17. If n(p(r-1))/a=n(pr)/b=n(p(r+1))/c,then show that b^2=a(b+c)

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  18. Show that the four lines 2x+y+1=0,2x+y+7=0,x+2y-1=0 and x+2y+5=0 form ...

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  19. Find the equation-of the bisector of the obtused angle between the st...

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  20. The co-ordinate of centre and the diameter of a circle are (3, 7) and ...

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