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If the coefficients of x^3 and x^4 in th...

If the coefficients of `x^3 and x^4` in the expansion of `(1+ax+bx^3)(1-2x)^18` in powers of x are both zero, then `(a,b)` is equal to

A

`(14,(272)/(3))`

B

`(16,(272)/(3))`

C

`(16,(251)/(3))`

D

`(14,(251)/(3))`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. If the 3rd, 4th and 5th terms of (x+a)^n are 60, 160, 240 respectivel...

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  2. If the 2nd and 3rd terms in the expansion of (1+x)^n are 20a and 180a...

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  3. If the coefficients of x^3 and x^4 in the expansion of (1+ax+bx^3)(1-2...

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  4. 5th term of (2x^2+(3)/(x))^5 is 10. Then x=

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  5. If the third time in the expansion of ((1)/(x)+x log10 x) 1 then x=

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  6. If the fourth term in the expansion of (sqrt(x^(1//(logx+1)))+x^(1//12...

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

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  8. If the third term in the expansion of ((1)/(x)+x^(log10 x) x)^5 is 100...

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  9. If the third term in the expansion of (x + x log10 x)^5 is 10^6 then x...

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  10. If the ratio of the 7th term from the beginning to the 7th term from t...

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  11. If two consecutive terms in the expansion of (x+a)^n are equal to wher...

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  12. If the coefficient of pth term in the expansion of (1+x)^n is p and th...

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  13. If p and q are the coefficients of x^n in (1+x)^(2n-1) and (1+x)^(2n)...

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  14. If the 5th term is 4 times the 4th term and the 4th term is 6 times th...

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  15. If a1,a2, a3,a4 are the coefficients of 2nd, 3rd, 4th and 5th terms of...

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  16. If P and Q are the sum of odd terms and the sum of even terms respecti...

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  17. If the sum of odd terms and the sum of even terms in the expansion of ...

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  18. If P and Q are the sum of odd terms and the sum of even terms respecti...

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  19. The coefficient of x^p in the expansion of (x^2+(1)/(x))^(2n) is

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  20. If T0, T1, T2, … Tn represent the terms in the expansion of (x+a)^n, t...

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