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If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(...

If `(+x)^n=sum_(r=0)^n a_r x^r&b_r=1+(a_r)/(a_(r-1))&prod_(r=1)^n b_r=((101)^(100))/(100!),` then equals to: 99 (b) 100 (c) 101 (d) None of these

A

99

B

100

C

101

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
  1. The greatest integer less than or equal to (sqrt2 + 1)^6 is

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  2. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

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  3. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

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  4. The expression (1)/( sqrt( 3x +1)) [ ( ( 1+ sqrt( 3x + 1))/(2))^(7) -...

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  5. If z = 1/3 + (1.3)/(3.6) + (1.3.5)/(3.6.9) + .... then

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  6. If the sum of the coefficients in the expansion of (1 + 2x)^(n) is...

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  7. The coefficient of the term independent of x in the exampansion of ((x...

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  8. If the coefficient of (r +1)^(th) term in the expansion of (1 +x)^...

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  9. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

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  10. If r^(th)term in the expansion of (x/3-2/x^2)^(10)contains x^4, then f...

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  11. If t(1) is the rth term in the expansion of (1+x)^(101), then what is ...

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  12. The middle term in the expansion of (1+(1)/(x^(2)))^(n) ( 1+x^(2))^(n)...

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  13. I three consecutive coefficients in the expansion of (1+x)^n are in th...

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  14. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then f...

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  15. If the middle term in the expansion of ((1)/(x)+x sinx)^(10) is equal ...

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  16. Third term in expression of (x + x^(log(10)x))^(5) is 10^(6) than poss...

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  17. If x is positive, the first negative term in the expansion of (1+x)^(2...

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  18. What is the coefficient of x^(3)y^(4)" in "(2x+3y^(2))^(5) ?

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  19. If the fourth term in the expansion of (a x+1/x)i s5/2,\ then find th...

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  20. The number of real negavitve terms in the binomial expansion of (1 ...

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