The coefficient of x4 of the expression -1-5 x-9 x2-1-x211 isA- 3-11c2-4-11c1-3B- 11C2-3-11C1-4C- 171D- 11C2-4-11c1-3

The correct option is C Co efficeint of x^4 nbsp; = ( 1 + 5x + 9x^2 + 13x^3 + 17x^4 + .......)(1 + 11_c_2 x^4 + ..... ) nbsp; = 11 c_2 + 99 + 17 nbsp; ...

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Byju's Answer

Standard XI

Mathematics

Coefficients of Terms Equidistant from Beginning and End

The coefficie...

Question

The coefficient of $x^{4}$ of the expression ( 1 + 5x + $9 x^{2} + . . . . . . \infty) (1 + x^{2})^{11}$ is

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Solution

The correct option is D

Co - efficeint of $x^{4}$

$= (1 + 5 x + 9 x^{2} + 13 x^{3} + 17 x^{4} + . . . . . . .) (1 + 11_{c_{2}} x^{4} + . . . . .)$

= 11 $c_{2}$ + 99 + 17

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Similar questions

\frac{^{11} C_{0}}{1} + \frac{^{11} C_{1}}{2} + \frac{^{11} C_{2}}{3} + . . . . + \frac{^{11} C_{10}}{11} =

\frac{^{11} C_{0}}{1}

\frac{^{11} C_{1}}{2}

\frac{^{11} C_{2}}{3}

+ .................... +

\frac{^{11} C_{1} 0}{11}

$\frac{^{11} C_{0}}{1}$ + $\frac{^{11} C_{1}}{2}$ + $\frac{^{11} C_{2}}{3}$ +.............. $\frac{^{11} C_{10}}{11}$ =

Q. Solve

\frac{^{11} C_{0}}{1} + \frac{^{11} C_{1}}{2} + \frac{^{11} C_{2}}{3} + . . . . + \frac{^{11} C_{10}}{11} =

$\frac{^{11} C_{0}}{1}$ + $\frac{^{11} C_{1}}{2}$ + $\frac{^{11} C_{2}}{3}$ +.............. $\frac{^{11} C_{10}}{11}$ =

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The coefficient of x4 of the expression ( 1 + 5x +9x2+......∞)(1+x2)11 is

The correct option is D Co - efficeint of x4 =(1+5x+9x2+13x3+17x4+.......)(1+11c2x4+.....) = 11 c2 + 99 + 17

The coefficient of $x^{4}$ of the expression ( 1 + 5x + $9 x^{2} + . . . . . . \infty) (1 + x^{2})^{11}$ is

The correct option is D

Co - efficeint of $x^{4}$

$= (1 + 5 x + 9 x^{2} + 13 x^{3} + 17 x^{4} + . . . . . . .) (1 + 11_{c_{2}} x^{4} + . . . . .)$

= 11 $c_{2}$ + 99 + 17