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Using the principle of mathematical induction ,prove that `x^n-y^n`is divisible by (x-y) for all `n in N`.

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2018-EXERCISE
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  2. If P-th ,q-th and r-th terms of an AP as well those of a GP are a,b,c ...

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  3. Using the principle of mathematical induction ,prove that x^n-y^nis di...

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  4. If z=x+iy andw=(1-iz)/(1+iz)such that |w|=1.then show that z is purely...

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  5. Find the rank of the word 'MOTHER' in dicitonary format.

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  7. (2a,0) and (0,a) are the extremities of the base of an isosceles trian...

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  9. The abscissae of two points A and B are the roots of the equation x^2+...

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  10. If 2f(x)+f(-x)=1+x,find f'(10),where f'(x) denote derivative of f(x).

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  11. Evaluate lim(xrarrpi//4)(4sqrt2-(cosx+sinx)^5)/(1-sin2x)

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  12. Write the negation of each of the following statements:p:for every rea...

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  13. Write the negation of each of the following statements:q:For every rea...

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  14. "Mathematics is fun"check whether this sentence is a statement .

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  16. p: If x is a real number such that x^3+4x=0,then x=0,prove that p is t...

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  17. A bag contains 5 white and 4 black balls.If 3 balls are drawn at rando...

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