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In the expansion of (x+sqrt(x^(2)-1))^...

In the expansion of
`(x+sqrt(x^(2)-1))^(6)+(x-sqrt(x^(2)-1))^(6) ` the number of terms is

A

7

B

14

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
  1. The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is:

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  2. The term independent of x in the expression of (1+x+2x^(3))((3)/(2)x^(...

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  3. In the expansion of (x+sqrt(x^(2)-1))^(6)+(x-sqrt(x^(2)-1))^(6) the...

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  4. The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

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  5. The coefficient of x^(4) in the expansion of ((x)/(2)-(3)/(x^(2)))^(...

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  6. The coefficient of the middle term in the expansion of (1+x)^(2 n) is

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  7. The greatest coefficient in the expansion of (1+x)^(10) is

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  8. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

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  9. The coefficient of x^(20) in (1+3 x+3 x^(2)+x^(3))^(20) is

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  10. The greatest term in the expansion of (1+3 x)^(54) , when x=(1)/(3) ...

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  11. The sum of the last eight coefficients in the expansion of (1+x)^(15)...

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  12. If C(0), C(1), C(2), C(3),.., C(n) are the binomial coefficients in t...

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  13. Greatest term in the expansion of sqrt(3)(1+(1)/(sqrt(3)))^(20) is

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  14. The term independent of x in expansion of ((x+1)/(x^(2//3)-x^(1//3)+1)...

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  15. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is

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  16. The greatest coefficient in the expansion of (1+x)^(2n) is

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  17. If the coefficients of r^(th) and (r+1)^(th) terms in the expansion o...

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  18. The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4)...

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  19. The coefficient of x^(-10)in(x^(2)-(1)/(x^(3)))^(10) is

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  20. The approximate value of (1.0002)^(3000) is

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