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Find the number of terms in the expansio...

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

A

7

B

14

C

6

D

4

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Chapter Test
  1. The coefficient of x^6 in {(1+x)^6+(1+x)^7+........+(1+x)^(15)} is

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  2. The number of real negative terms in the binomial expansion of (1+i x)...

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  3. Find the number of terms in the expansion of (x+sqrt(x^2-1))^6+(x-sqr...

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  4. If the last tem in the binomial expansion of (2^(1/3)-1/(sqrt(2)))^n i...

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  5. The coefficient of x^(6) a^(-2) in the expansion of ((x^(2))/(a)-(a)/...

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  6. If in the expansion of (1 + ax)^(n),n in N, the coefficient of x an...

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  7. In the expansion of (x^3-1/(x^2))^n ,n in N , if the sum of the coeff...

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  8. The coefficient of x^20 in the expansion of (1+x^2)^40.(x^2+2+1/x^2)^-...

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  9. about to only mathematics

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  10. The sum ""^(40)C(0) + ""^(40)C(1)+""^(40)C(2)+…+""^(40)C(20) is equal ...

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

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  12. The numberof integral termsin the expansion of ( (3)-root(8)(5))^256 i...

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  13. Find the term independent of x in the expansion of (sqrt(x/3)+((sqrt3)...

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  14. If the coefficients of x^2 and x^3 in the expansion of (3 + ax)^(9) be...

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  15. If the integers r gt 1, n gt 2 and coefficients of (3r)th " and " (r +...

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  16. about to only mathematics

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  17. The coefficient of x^(5) in the expansion of (x +3)^(6),is

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  18. Coefficient of x^(n) in the expansion of ((1+x)^(n))/(1-x)

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  19. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

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  20. The expression (sqrt(2x^2+1)+sqrt(2x^2-1))^6 + (2/(sqrt(2x^2+1)+sqrt(2...

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