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Prove that the Binomial theorem (a + b)^...

Prove that the Binomial theorem `(a + b)^(n) = ""^(n)C_(0)a^(n) + ""^(n)C_(1)a^(n - 1)b + ""^(n)C_(2)a^(n - 2)b^(2) + .. ""^(n)C_(n)b^(n)` for any positive integer 'n'.

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OSWAAL PUBLICATION-SOLVED PAPER 2018-1-EXERCISE
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  2. A die is thrown.Write the sample space.Also find the probability of th...

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  3. A die is thrown. Find the probability that (i) A prime number will a...

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  4. Out of 100 students,two sections of 40 and 60 are formed.If you and yo...

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  5. Draw the graph of the signum function write its domain and range.

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  6. Prove that : (sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

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  7. 1.2+2.3+3.4+…………..+n(n+1)=n/3(n+1)(n+2) forall n in N.

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  8. Solve the following system of inequalities graphivally 2x+y>+4,x+yle3,...

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  9. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  10. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  11. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  12. What is the number of ways of choosing 4 cards from a pack of 52 cards...

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  13. Prove that the Binomial theorem (a + b)^(n) = ""^(n)C(0)a^(n) + ""^(n)...

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  14. Derive the formula to find the angle between two lines with slopes m(1...

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  15. Derive the formula to find the co-ordinates of a point which divide th...

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  16. Prove that underset(xrarr0)lim(sinx/x=1) ?

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  17. (a)Derive geometrically that cos(x+y)=cos x cos y-sin x sin y.Hence de...

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  18. Find the sum to n terms of the series (1)/(1xx2) +(1)/(2xx3)+(1)/...

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  19. Find the equation of hyperbola in the form (x^2)/(a^2)-(y^2)/(b^2)=1, ...

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  20. (b) Find the derivative of (x^(5) - cos x)/(sin x) with respect to x.

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