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CENGAGE-BINOMIAL THEORM-Question Bank
- If (7+x+x^2)^25=a0+a1 x+a1 x^2+….+a(50+ x^(50), then last digit of ...
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- Let number of dissimilar terms in the expansion of (x+y+z)^25 is overs...
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- Coefficient of t^(12) in (1+t^2)^6(1+t^6)(1+t^(12)) is
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- Coefficient of x1^(12) in (1+x^3)^5(1+x^4)^8(1+x^5)^(11) is
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- If l, m, n are in A.P., then the sum of coefficients of (1+(l x^2-2 m ...
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- If 1((2014),(1)) ((2013),(2013)) + 2 ((2014),(2)) ((2013)(2012)) + 3...
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- Number of terms containing integral powers of ' x ' is expansion of (1...
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- Let (1+x^2)^2(1+x)^n=A0+A1 x+A2 x^2+…. If A0, A1, A2 ares in A.P. t...
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- If the second term of the expansion [a^1 / (13)+a/sqrta^(-1)}^n is 14 ...
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- The sum of the roots (real or complex) of the equation x^(2001)+(1/2-...
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- The last two digits of the number 3^(400) are
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- Sum of all the rational terms in the expansion of (3^1/4+4^1/3)^2, i...
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- The sum of rational terms in the binomial expansion of (sqrt2+ overset...
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- If 1+x^4+x^5= underset(I =0)overset(5) sum ai(1+x)^i, for all x in R, ...
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- If the coefficient of x^100 in 1+(1+x)+(1+x)^2 …......+(1+x)^n ,(n ge ...
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- The digit at unit place in the coefficient of x^(50) in the product...
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- The total number of terms in the product (overset(101) C(0)- overset(1...
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- If the constant term in the binomial expansion of(x^2-1/x)^n, n in N i...
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- Consider a sequence of 1001 terms as overset(1001) C0/(1 . 2 .3 . 4), ...
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- Coefficient of x^6 in (1+x)(1+x^2)^2(1+x^3)^3 ...(1+x^n)^n is
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