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The range of the values of term independ...

The range of the values of term independent of x in the expansion of `(x"sin"^(-1)alpha+("cos"^(-1)alpha)/(x))^(10)`, `alphain[-1,1]`, is :

A

`[-(""^(10)C_(5) pi^(10))/(2^(5)),(""^(10)C_(5) pi^(10))/(2^(20))]`

B

`[(""^(10)C_(5) pi^(2))/(2^(20)),(""^(10)C_(5) pi^(2))/(2^(5))]`

C

`[1,2]`

D

`(1,2)`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. Find the remainder when 32^(32^32) is divided by 7

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  2. If x^m occurs in the expansion (x+1//x^2)^(2n) , then the coefficient ...

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  3. If n gt 1, then (1+x)^(n)-nx-1 is divisible by :

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  4. The number of terms with integral coefficients in the expansion of (...

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

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  6. The range of the values of term independent of x in the expansion of (...

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  7. If the sum of the coefficients in the expansion of (alpha x^(2 ) -2...

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  8. If the coefficients of r^(th) and (r+1)^(th)terms in expansion of (3+7...

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  9. The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3...

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  10. about to only mathematics

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  11. If n > 3, then x y C0-(x-1)(y-1)C1+(x-2)(y-2)C2-(x-3)(y-3)C3+...........

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  12. The coefficient of x^(5) in the expansion of (1+x^(2))/(1 +x) ,|x| ...

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  13. Find the digit at the unit's place in the number 17^1995 + 11^1995-7^1...

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  14. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

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  15. Let (1+x)^(n)=sum(r=0)^(n)a(r)x^(r)* Then (1+(a(1))/(a(0)))(1+(a(2))/(...

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  16. If n is even and ""^(n)C(0)lt""^(n)C(1) lt ""^(n)C(2) lt ....lt ""^(...

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  17. The coefficient x^5 in the expansion of (2 - x + 3x^2)^6 is

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  18. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

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  19. The coefficient of x^(8) y^(6) z^(4) in the expansion of (x + y + z)...

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  20. The value of 1xx2xx3xx4+2xx3xx4xx5+3xx4xx5xx6+…+n(n +1) (n +2) (n +...

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