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If I is integral part of (2+ sqrt(3))^n ...

If `I` is integral part of `(2+ sqrt(3))^n` and f is its fractional part. Then `(I +f)(1-f)` is:

A

`I +1`

B

1

C

n

D

`2^(n)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
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  2. I three consecutive coefficients in the expansion of (1+x)^n are in th...

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  3. If I is integral part of (2+ sqrt(3))^n and f is its fractional part....

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  4. The greatest integer less than or equal to (sqrt2 + 1)^6 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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