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Prove that the coefficient of x^(n) in ...

Prove that the coefficient of `x^(n)` in `(1+x)^(2n)` is twice the coefficient of `x^(n)` in `(1+x)^(2n-1)`

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Prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

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JBD PUBLICATION-MODEL PAPER (8)-EXERICSE
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  2. Find the real numbers x and v if (x -iy) (3 + 5i) is the conjugate of ...

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  3. Prove that the coefficient of x^(n) in (1+x)^(2n) is twice the coeffi...

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  4. Write the middle term in the expansion of (2x^2-1/x)^10.

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

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  9. There are 210 members in a club. 100 of them drink tea and 65 drink te...

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  10. If y=f(x)=(2x+3)/(5x-2), prove that f(y)=x.

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  11. If sin theta= n sin(theta+2 alpha), show that : tan(theta+ alpha)=(1+n...

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  12. Prove by mathematical induction that 1+3+3^2+…………+3^(n-1)=(3^n -1)/2

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  17. Find the equations of the lines, which pass through the point (4, 5) a...

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  18. Find the area of the triangle formed by the lines joining the vertex o...

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  19. Evaluate: underset(xrarr1)lim (3x^2-2x-10)/(x^2-4).

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