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Number of values of r satisfying the equ...

Number of values of r satisfying the equation `,^69C_(3r-1) -^(69)C_(r^2)=^69C_(r^2-1)-^69C_(3r)` is

A

1

B

2

C

3

D

7

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The correct Answer is:
C, D
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
  1. Remainder when 5^(40) is divided by 11.

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  2. If (1+x-2x^2)^6=1+a1x+a2x^2+……+a(12)x^12 then

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  3. Number of values of r satisfying the equation ,^69C(3r-1) -^(69)C(r^2)...

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  4. In the expansion of (x+(a/x^2))^n, (ane0) if term independent of x doe...

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  5. If f(n)=sum(r=1)^n[r(n ^(n-1)C(r-1)-r^C(r-1))+(2r+1)^nCr]

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  6. The value of ,^nC0 + ^(n+1)C1 +^(n+2)C2+……+^(n+k)Ck is equal to

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  7. If the expansion of (x+(alpha/x))^n and (x+(beta/x^2))^n in powers of ...

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  8. The coefficient of the middle term in the expansion of (1+x)^(2n) is

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  9. If the term independent of x in the expansion of (sqrtx+(k/x^2))^10 is...

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  10. If n is a positive integer then in the trinomial expansion of (x^2+2x+...

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  11. Which of the following will not be true?

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  12. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  13. Consider following two infinite series in real r and 0 C=1+rcostheta...

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  14. First three terms in the expansion of (x+a)^n are respectively 128, 22...

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  15. The sum of even terms in the expansion of (x+a)^n is

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  16. Match List - I with List-II

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  17. Match List-I with List-II

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  18. If the second term of the expansion [a^(1/13)+(a/sqrt(a^(-1))] is 14a^...

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  19. (1+x)(1+x+x^2)(1+x+x^2+x^3)…….(1+x+x^2+…….+x^(100)) when written in th...

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  20. The value of {3^(2003)/28}=a/b where {} denotes the fractional part th...

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