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Prove that : If the coefficients of (2r...

Prove that : If the coefficients of `(2r+4)^("th")` and `(r-2)^("nd")` terms in the expansion of `(1+x)^(18)` are equal, find r.

A

2

B

4

C

6

D

8

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. If the coefficients of (2r+1)th term and (4r+5)th term in the expansi...

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  2. If the 5th term is 24 times the 3rd term in the expansion of (1+x)^11...

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  3. Prove that : If the coefficients of (2r+4)^("th") and (r-2)^("nd") te...

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  4. The ratio of the coefficient of x^15 to the term independent of x in (...

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  5. The ratio of the coefficient of x^10 in (1-x^2)^10 and the term of ind...

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  6. The two successive terms in the expansion (1+x)^24 whose coeff's are i...

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  7. The coefficients of three consecutive terms in the expansion of (1+x)^...

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  8. If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then...

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  9. If the coefficients of 5th, 6th, 7th terms of (1+x)^n are in A.P. then...

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  10. If the coefficients of x^9, x^10, x^11 in the expansion of (1+x)^n are...

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  11. If the coefficients of 2nd , 3rd and 4th terms of the expansion of (1+...

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  12. If 28, 56, 70 are the successive coefficients of (1+x)^n then n=

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  13. If the first three terms of (1+ax)^n are 1,6x,16x^2 then (a, n)=

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  14. If the first three terms of (a+b)^n are 1, 14, 84 respectively then n=

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  15. If the 3rd, 4th and 5th terms of (x+a)^n are 720, 1080 and 810 respect...

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  16. If the 3rd, 4th and 5th terms of (x+a)^n are 60, 160, 240 respectivel...

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

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

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  19. 5th term of (2x^2+(3)/(x))^5 is 10. Then x=

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

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