krit.club logo

Binomial Theorem

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Binomial theorem for positive integral indices

Subtopic

Binomial theorem for positive integral indices under Binomial Theorem for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The number of terms in the expansion of (x+y+z)2(x + y + z)^2 is 6. How many terms are in the binomial expansion of (x+y)2(x+y)^2?

    A.

    2

    B.

    3

    C.

    4

    D.

    5

  2. 2.

    The value of 6C3^{6}C_{3} is:

    A.

    18

    B.

    20

    C.

    15

    D.

    12

  3. 3.

    What is the second term in the expansion of (1−x)5(1 - x)^{5}?

    A.

    5x5x

    B.

    −5x-5x

    C.

    10x10x

    D.

    −x-x

Download the worksheet for Binomial Theorem - Binomial theorem for positive integral indices to practice offline. It includes additional chapter-level practice questions.

Pascal's Triangle

Subtopic

Pascal's Triangle under Binomial Theorem for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The very first number in row n=10n = 10 is:

    A.

    10

    B.

    0

    C.

    1

    D.

    5

  2. 2.

    What is the value of 5C2^5C_2?

    A.

    5

    B.

    10

    C.

    15

    D.

    20

  3. 3.

    If n=3n = 3, the entries in the row are 1, 3, 3, 1. What is the sum of these entries?

    A.

    6

    B.

    7

    C.

    8

    D.

    9

Download the worksheet for Binomial Theorem - Pascal's Triangle to practice offline. It includes additional chapter-level practice questions.

General and Middle Term in Binomial Expansion

Subtopic

General and Middle Term in Binomial Expansion under Binomial Theorem for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    How many terms are in the expansion of (a+b)13(a + b)^{13}?

    A.

    13

    B.

    14

    C.

    12

    D.

    26

  2. 2.

    The 4th term in the expansion of (a−b)4(a - b)^4 is:

    A.

    4ab34ab^3

    B.

    −4ab3-4ab^3

    C.

    6a2b26a^2b^2

    D.

    −b4-b^4

  3. 3.

    What is the 3rd term in the expansion of (x+1)8(x + 1)^8?

    A.

    56x656x^6

    B.

    28x628x^6

    C.

    70x470x^4

    D.

    8x78x^7

Download the worksheet for Binomial Theorem - General and Middle Term in Binomial Expansion to practice offline. It includes additional chapter-level practice questions.

Simple Applications

Subtopic

Simple Applications under Binomial Theorem for Grade 11 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the coefficient of x1x^1 in the expansion of (1+x)n(1 + x)^n?

    A.

    1

    B.

    nn

    C.

    n−1n-1

    D.

    nC2{}^nC_{2}

  2. 2.

    In the expansion of (x−1)6(x - 1)^6, the coefficient of the middle term is:

    A.

    6C3{}^6C_{3}

    B.

    −6C3-{}^6C_{3}

    C.

    6C4{}^6C_{4}

    D.

    −6C2-{}^6C_{2}

  3. 3.

    Calculate (10.1)2(10.1)^2 using the expansion of (10+0.1)2(10 + 0.1)^2.

    A.

    102.01

    B.

    101.01

    C.

    100.01

    D.

    102.1

Download the worksheet for Binomial Theorem - Simple Applications to practice offline. It includes additional chapter-level practice questions.

Binomial Theorem - CBSE Class 11 Maths Notes & Revision | Krit.club