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If t(1) is the rth term in the expansion...

If `t_(1)` is the rth term in the expansion of `(1+x)^(101)`, then what is the rato `(t_(20))/(t_(19))` equal to ?

A

`(20x)/( 19)`

B

83x

C

`19x`

D

`(83x)/(19)`

Text Solution

Verified by Experts

The correct Answer is:
D
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
  1. In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...

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  2. If r^(th)term in the expansion of (x/3-2/x^2)^(10)contains x^4, then f...

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  3. If t(1) is the rth term in the expansion of (1+x)^(101), then what is ...

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  4. The middle term in the expansion of (1+(1)/(x^(2)))^(n) ( 1+x^(2))^(n)...

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  5. I three consecutive coefficients in the expansion of (1+x)^n are in th...

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  6. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then f...

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  7. If the middle term in the expansion of ((1)/(x)+x sinx)^(10) is equal ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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