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Mathematical… | NUST Entrance Test Mathematics | ClassNotes

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Mathematical Induction and Binomial Theorem

Set 2

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MM

Mashaal Masha

Sep 29, 2022

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$In the expansion of $[x^{-\frac{1}{6}}-y^{\frac{1}{3}}]^{9}$ the term independent of x is$
$The term independent of x in the expansion of $(x^{3}-\frac{3}{x^{2}})^{15}$ is$
$The middle term of the expansion $[\frac{1}{x}-\frac{x^{2}}{2}]^{12}$ is$

Choose the correct options for the following questions.

In the expansion of $[x^{-\frac{1}{6}}-y^{\frac{1}{3}}]^{9}$ the term independent of x is

Difficulty: Easy

A:

-35

B:

The middle term of the expansion $[\frac{1}{x}-\frac{x^{2}}{2}]^{12}$ is

C:

41

D:

72

The term independent of x in the expansion of $(x^{3}-\frac{3}{x^{2}})^{15}$ is

Difficulty: Easy

A:

8th

B:

10th

C:

7th

D:

3rd

The middle term of the expansion $[\frac{1}{x}-\frac{x^{2}}{2}]^{12}$ is

Difficulty: Easy

A:

\frac{231}{16}x^{6}

B:

-\frac{231}{10}x^{5}

C:

-1230x^{3}

D:

-3100x^{6}

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