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If (1-x+x^2)^n=a0+a1x+a2x^2+ .........+a...

If `(1-x+x^2)^n=a_0+a_1x+a_2x^2+ .........+a_(2n)x^(2n),\ ` find the value of `a_0+a_2+a_4+........+a_(2n)dot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

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

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

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

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  5. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

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  6. If rth term in the expansion of (2x^2-1/x)^(12) is without x then r is...

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  7. If in the expansion of (a+b)^n\ a n d\ (a+b)^(n+3) , the ratio of the...

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  8. If A and B are the sums of odd and even terms respectively in the expa...

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  9. The number of irrational terms in the expansion of (4^(1/5)+7^(1/10))...

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  10. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

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  11. In the expansion of (x^2-1/(3x))^9 the term without x is equal to a. (...

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  12. If in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n...

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  13. The middle term of the expansion of ((2x^2)/3+3/(2x^2))^(10) is a. 251...

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  14. If in the expansion of (x^4-1/(x^3))^(15),\ x^(-17) occurs in rth term...

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  15. In the expansion of (x-1/(3x^2))^9, the term independent of x is a. T3...

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  16. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

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  17. Find the term independent o f x in the expansion of the following expr...

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  18. If A and B respectively denote the sum of the odd terms and sum of the...

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  19. If the coefficient of x in the expansion of (x^2 +k/x)^5 is 270, then...

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  20. The coefficient of x^4 in (x//2-3//x^2)^10 is (405)/(256) b. (504)...

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