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If in any binomial expansion a, b, c and...

If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9th terms respectively, prove that `(b^2-ac)/(c^2-bd)=(4a)/(3c)`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. In the expansion of (1+x)^n the binomial coefficients of three consecu...

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  2. If in the expansion of (1+x)^n the coefficient of three consecutive te...

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  3. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

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  4. If the coefficients of three consecutive terms in the expansion of (1+...

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  5. If the 6th, 7th, 8th terms in the expansion of (x+ y)^n be 112, 7 and ...

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  6. If the 2nd, 3rd and 4th terms in the expansion of (x+a)^n are 240, ...

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  7. Find a, b and n in the expansion of (a+b)^n if the first three t...

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  8. If p is a real number and if the middle term in the expansion of (p/2+...

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  9. Write the number of terms in the expansion of (2+sqrt(3)x)^(10)+(2-sqr...

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  10. Write the middle term in the expansion of ((2x^2)/3+3/(2x^2))^(10)dot

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  11. Which term is independent of x in the expansion of (x-1/(3x^2))^9?

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  12. If a\ a n d\ b denote respectively the coefficients of x^m a n d\ x^n ...

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  13. Write the middle term in the expansion of (x+1/x)^(10)dot

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  14. If a\ a n d\ b denote the sum of the coefficients in the expansions of...

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  15. Write the coefficient of the middle term in the expansion of (1+x)^(2n...

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  16. Find the sum of the coefficient of two middle terms in the binomial ...

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  17. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

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

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  19. If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a(2n)x^(2n),\ find the value o...

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  20. If the rth term in the expansion of (1+x)^20 has its coefficient equal...

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