Eamcet - Maths - Binomial Theorem Test

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The general term of (2a-3b)-1/2 is

If two consecutive terms in the expansion of (x+a)n are equal where n is a positive integer then (n+1)a/x+a is

The coefficient of xr (0

If (1+x+x2)n =Σr=02n rxr then a0+a2+a4+……….+a2n=

If x is so small that x2 and higher powers of x may be neglected then (1-x)1/2(1+x)2/3/(1-x)1/2

x2n-1+y2n-1 is divisible by x+y if n is

The coefficient of x10 in 1-2x+3x2/1-x is

5th term of (2x2+3/x)5 is 10. Then x=

The term independent of x in (x+1/x)6 is

If |x|

If the coefficient of rth term and (r + l)th term in the expansion of (1 + x)20 are in the ratio 1 : 2, then r is equal to:

If xr occurs in the expansion (x+1/x2)2n, then its coefficient is:

(1.02)6 + (0.98)6 =

If (3 + 4i) is a root of x2+px+q=0, then (p, q) is:

C2+C4+C6+……….. =

If the 3rd, 4th and 5th terms of (x+a)n are 720, 1080 and 810 respectively then (x,a,n)=

The term independent of x in the expansion of (1+x+2x3)(3x2/2-1/3x/)9 is

If the middle term of (1+x)2n is 1.3.5...(2n-1)k/n! then k=

If n is even then C02-C12+C22-……….+(-1)n Cn2 =

C0-2. C1+3. C2………..+(-1)n(n+1).Cn =

(√2+1)6+(√2-1)6=

The ratio of the coefficient of x15 to the term independent of x in (x2+2/x)15 is

The coefficient of x7 in (1+2x+3x2+4x3+……..∞)-3 is

C0+3.C1+5.C2+……..+(2n+1).Cn =

3.C0-5.C1+7.C2-9.C3+…………(n+1) terms =

If the 5th term is 24 times the 3rd term in the expansion of (1+x)11 then x=

xn-1 is divisible by x-k. Then the least +ve integral value of K is

The 4th term of (1-2x)-1 when x=1/3 is

nC0+nC1+nC2+………+nCn =

The coefficient of x7 in (1-2x+3x2-4x3+……..∞)-4 is

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