NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 5

EASY

11th CBSE

IMPORTANT

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Find the middle term (terms) in the expansion of

${(\frac{x}{a} - \frac{a}{x})}^{10}$

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Important Questions on Binomial Theorem

MEDIUM

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 5

Find the middle term (terms) in the expansion of

${(3 x - \frac{x^{3}}{6})}^{9}$

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 6

Find the coefficient of

x^{15}

in the expansion of

{(x - x^{2})}^{10}

.

MEDIUM

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 7

Find the coefficient of

\frac{1}{x^{17}}

in the expansion of

{(x^{4} - \frac{1}{x^{3}})}^{15}

.

MEDIUM

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 8

Find the sixth term of the expansion

{(y^{1 / 2} + x^{1 / 3})}^{n}

, if the binomial coefficient of the third term from the end is

45

.

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 9

Find the value of

r

if the coefficients of

(2 r + 4)^{t h}

and

(r - 2)^{t h}

terms in the expansion of

(1 + x)^{18}

are equal.

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 10

If the coefficient of second, third and fourth terms in the expansion of

(1 + x)^{2 n}

are in A.P., show that

2 n^{2} - 9 n + 7 = 0

.

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 11

Find the coefficient of

x^{4}

in the expansion of

{(1 + x + x^{2} + x^{3})}^{11}

.

EASY

11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 8 - Binomial Theorem>EXERCISE>Q 12

If

p

is a real number and if the middle term in the expansion of

{(\frac{p}{2} + 2)}^{8}

is

1120

, find

p

.