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The middle terms of ((x^(3//2)y)/(2)+(2)...

The middle terms of `((x^(3//2)y)/(2)+(2)/(xy^(3//2)))^13` are

A

`""^13 C_6 x^(9//2)/(2y^2), ^13 C_7 (2x^2)/(y^(9//2))`

B

`""^13 C_7 (x^(9//2))/(2y^2), ^13 C_7 (2x^2)/(y^(9//2))`

C

`""^13 C_7 (x^(9//2))/(2y^2), ^13 C_6 (2x^2)/(y^(9//2))`

D

`""^13 C_6 (x^(9//2))/(2y^2), ^13 C_6 (2x^2)/(y^(9//2))`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. Middle term in the expansion of (2x-(3)/(x))^15 is

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  2. The middle term of (x+(1)/(x))^(2n) is

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  3. The middle terms of ((x^(3//2)y)/(2)+(2)/(xy^(3//2)))^13 are

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  4. The middle terms of (3x^2+5//x^3)^11 are

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  5. The middle term of (1-3x+3x^2-x^3)^(2n) is

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  6. If the middle term of (1+x)^ (2n) is (1.3.5….(2n-1)k)/(n!) then k=

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

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  8. The greatest coeff. of (x//y+y//x)^(2n+1) is

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  9. The value of the greatest term in sqrt3(1+1//sqrt3)^(20) is

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  10. The coefficient of the middle term in the binomial expansion in powers...

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  11. If the middle term in the expansion of (1+x)^(2n) is the greatest term...

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  12. Which term is the numerically greatest in (1-3x)^10 when x=1//2 ?

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  13. Which term of (2x-3y)^12 when x=1, y=5//2 numerically greatest ?

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  14. The numerically greatest term of (3x+2y)^11 when x=2//3, y=3//4 is

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  15. The numerically greatest term in the expansion of (3+2x)^(49) when x=1...

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  16. If the 4th term in the expansion of (2+3x//8)^10 has the maximum numer...

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  17. The integral part of (sqrt2+1)^6 is

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  18. The positive integer which is just greater than (1+0.0001)^(10000) is

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  19. If n is a +ve integer, then the integral part of (4+sqrt(10))^n is an ...

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  20. (18^3+7^3+3.18. 7. 25)/(3^6 +6.243.2+15.81.4+20.27.8+15.9.16+6.3.32+64...

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