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If the term free from x in the expansion...

If the term free from x in the expansion of `(sqrt(x)-sqrt(m)/(x^(2)))^(10)` be 405 , find the value of m .

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CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
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  2. If the coefficient of x^(3) in the expansion of (x^(2) + (k)/(x))^(6) ...

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  3. If the term free from x in the expansion of (sqrt(x)-sqrt(m)/(x^(2)))^...

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  4. If the 21st and 22nd terms in the expansion of (1+x)^(44) are equal , ...

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  7. If in the expansion of (1+x)^(43) ,the coefficient of (3r+1)th term be...

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  8. prove that the coefficient of the (r +1)th term in the expansion of (...

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  9. Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5....

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  10. Show that the coefficient of the middle term of (1+x)^(2m) is equal to...

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  11. Show that the coefficient of the middle term in the expansion of (1+x...

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  12. If the coefficients of (p +1) th and (p+3)th terms in the expansion of...

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  13. Let n ge 5 b ne0, if in the binomial of (a-b)^(n), the sum of the 5th...

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  14. If the coefficients of x^(2) and x^(11) in the expansion of (1+ax+2x^(...

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  15. If in the expansion of (1+x)^(m)(1-x)^(n) the coefficients of xandx^(...

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  16. Use binomial theorem to show that if nge1 is an integer then , (a) ...

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  17. n(gt1) is a positive integer . Show that 14^(n)-13n-1 is divisible by...

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  18. For every natural number n(gt1) , show that , 4^(n)+15n-1 is divisible...

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  19. If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is a...

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