Learn Maths Binomial Theorem, Class 11 Maths Binomial Theorem Exercise, Free Online Binomial Theorem Lessons

Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Binomial Theorem. Students can understand Binomial Theorem concept easily and consolidate their learning by doing Online Practice Tests on Maths,Binomial Theorem chapter repeatedly till they excel in Class 11, Binomial Theorem. Free ONLINE PRACTICE TESTS on Class 11, Binomial Theorem comprise of Hundreds of Questions on Binomial Theorem, prepared by the highly professionals team. Every repeat test of Binomial Theorem will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Binomial Theorem. Attempt ONLINE TEST on Class 11,Maths,Binomial Theorem in Academics section after completing this Binomial Theorem Question Answer Exercise.

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Binomial Theorem

If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 - …………. - nCn a∧0 b∧n
c) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 - …………. + nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - nCn a∧0 b∧n

✔Answer

Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

Solution Is :

If the index of the binomial is n then the expansion contains ________ term.

a) N
b) N - 1
c) N + 1
d) ( - n )

✔Answer

Correct Answer Is : N + 1

Solution Is :

In each term the sum of indices a and b is ___________ n.

a) Not equal to
b) Equal to
c) Some times
d) Always

✔Answer

Correct Answer Is : Always

Solution Is :

True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd.

a) TRUE
b) FALSE
c) Maybe
d) None of these

✔Answer

Correct Answer Is : TRUE

Solution Is :

Coefficients of the term in the binomial expansion equidistant from both the ends are?

a) Equal
b) Opposite
c) Not equal
d) Different

✔Answer

Correct Answer Is : Equal

Solution Is :

If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + (-1)∧n nCn a∧0 b∧n
c) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

✔Answer

Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n

Solution Is :

Expand: ( x∧2 + 3y)∧5

a) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
b) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4
c) 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
d) X∧10 - 15x∧8y - 90x∧6y∧2 - 270x∧4y∧3 - 405x∧2y∧4 - 243y∧5

✔Answer

Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5

Solution Is :

Evaluate: ( √5 + √3)∧4

a) 124
b) 124 + √15
c) 124 - 32 √15
d) 124 + 32 √15

✔Answer

Correct Answer Is : 124 + 32 √15

Solution Is :

By using binomial theorem, find the value of (99)∧4.

a) 96059601
b) 96059602
c) 96059603
d) 96059604

✔Answer

Correct Answer Is : 96059601

Solution Is :

Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5

a) 2
b) 8
c) 28
d) 82

✔Answer

Correct Answer Is : 82

Solution Is :

❑Permutations and Combinations
❑Sets and their representations
❑statistics
❑Mathematical Induction
❑mathematical reasoning
❑Binomial Theorem
❑Calculus
❑Three Dimensional Geometry
❑Conic Sections
❑Straight Lines
❑Sequence and Series
❑Linear Inequalities
❑Complex numbers and Quadratic equations
❑Relations and functions
❑Trigonometric function
❑Probability

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Class 11 Maths Study Material

Binomial Theorem

If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .

Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n

Solution Is :

If the index of the binomial is n then the expansion contains ________ term.

Correct Answer Is : N + 1

Solution Is :

In each term the sum of indices a and b is ___________ n.

Correct Answer Is : Always

Solution Is :

True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd.

Correct Answer Is : TRUE

Solution Is :

Coefficients of the term in the binomial expansion equidistant from both the ends are?

Correct Answer Is : Equal

Solution Is :

If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ .

Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n

Solution Is :

Expand: ( x∧2 + 3y)∧5

Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5

Solution Is :

Evaluate: ( √5 + √3)∧4

Correct Answer Is : 124 + 32 √15

Solution Is :

By using binomial theorem, find the value of (99)∧4.

Correct Answer Is : 96059601

Solution Is :

Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5

Correct Answer Is : 82

Solution Is :

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