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If the middle term in the expansion of (...

If the middle term in the expansion of `((1)/(x)+x sinx)^(10)` is equal to `7(7)/(8)`, then the number of values of x in `[0, 2pi]` is equal to

A

`2 n pi +- ( pi )/( 6)`

B

`n pi + ( pi )/( 6)`

C

`n pi + ( - 1)^(n) ( pi )/( 6)`

D

`n pi + ( - 1)^(n) ( 5pi )/( 6)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
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  3. If the middle term in the expansion of ((1)/(x)+x sinx)^(10) is equal ...

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

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

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

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

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

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

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  10. Prove by induction that the integer next greater than (3+sqrt(5))^n is...

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  11. The value of x in the expression (x+x^((log)(10)))^5 if third term in ...

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  12. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

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  13. The sum of the rational terms in the binomial expansion of (2^((1)/(2)...

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  14. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

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  15. The sum of the coefficients in the expansion of (x^(2)- (1)/( 3))^(199...

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  16. The value of .^(20)C(10)+.^(20)C(1)+.^(20)C(2)+.^(20)C(3)+.^(20)C(4)+....

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  17. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

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  18. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

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  19. The sum of the series (12)/(2!)+(28)/(3!)+ (50)/(4!) + ( 78)/(5!)+"......

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  20. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

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