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The coefficient of the middle term in th...

The coefficient of the middle term in the binomial expansion in powers of x of `(1+alpha x)^4 and (1- alpha x)^6` is the same if `alpha=`

A

`-5//3`

B

`3//5`

C

`-3//10`

D

`10//3`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The greatest coeff. of (x//y+y//x)^(2n+1) is

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

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

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

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

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

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

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

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

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

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

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

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  13. (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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  14. (1.03)^19=

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  15. (1.02)^6+(0.98)^6=

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  16. (2-sqrt5)^5 + (2+sqrt5)^5=

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  17. The number of nonzero terms in the expansion of (1+3 sqrt2 x)^9 + (1-3...

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  18. The number of nonzero terms in the expansion of (x+a)^100 + (x-a)^100 ...

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  19. The number of nonzero terms in the expansion of (a+b sqrt 2)^20- (a-b ...

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  20. The number of nonzero terms in the expansion of (x+2 sqrt2)^(101)-(x-2...

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