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Tayal Classes is an e-learning service specifically for JEE Maths to help the JEE aspirants prepare for JEE Mains & Advanced. In this session, Renu Ma'am will be discussing JEE Maths chapter 'BINOMIAL THEOREM' and tips and tricks to solve questions to let you be thorough according to JEE Mains & JEE Advanced. Watch this video to know the best strategy to solve questions from 'BINOMIAL THEOREM'. All Subject Matter Experts at Tayal Classes have been always ready to give the best guidance for JEE Maths for JEE preparation by analyzing the important needs of the students and give them a straight pathway to get through IIT JEE.
Watch the whole video to learn the complete details about 'BINOMIAL THEOREM' for IIT JEE and Board Exam. It is one of the most important topics of the IIT JEE Maths question paper - in IIT JEE Advanced and JEE Mains as well. Tayal Classes makes the best videos for IIT Maths. Solve important JEE Main and JEE Advanced 2020 questions along with IIT JEE maths preparation tips and tricks. Crack IIT JEE Maths with these valuable IIT JEE preparation tips and tricks.
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2. 2020 - Integrated JEE (XI + XII)
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THIS CHAPTER CONTAINS FOLLOWING SUBTOPICS LECTURE-WISE
L-01: (33 Min.) About the factorial n
L-02: (36 Min.) Binomial expansion for n belongs to N, Pascal – triangle. Number of terms in
binomial expansions of different -2 power. General term in (x + a)n
, n belongs to N. Expansion
of some binomials, number of terms in expansions of some binomials, number of terms
in (x + a)n
(x – a)n
for n even & n odd, mth term from ending, middle term for n odd &
n even.
Questions of Binomial expansions (A) – 1 – 5
Questions of finding rth term in Binomial expansion (B) – 1 – 6, Question to find mth
term from the end.
L-03: (29 Min.) Questions to find middle term in binomial expansion. Questions – (1 – 6)
Questions to finding rth term and determining coefficient of x r
in binomial expansion.
L-04: (36 Min.) Questions of determining the coefficient of x0
i.e. the term independent of x.
L-05: (44 Min.) Questions – (1 – 8)
Determining coefficient in trinomial or multiple of several binomial expansion.
Questions – (1 – 6)
Questions – (7, 8) based on nCr. Question number 9 to prove
(101)50 (100)50 + (99)50
L-06: (67 Min.) Multinomial Theorem, its expansion. Number of terms in multinomial
expansions. Determining the coefficient using multinomial theorem or by using concept
of permutation and combination (P&C).
L-07: (58 Min.) Number of terms free from fractional or radical powers. Questions (1– 6).
Numerically greatest term in the expansion of (x+a)n
. Algebraically greatest and least
term. Its formula, Questions – (1 – 8).
L-08: (48 Min.) Questions based on I + f. Questions – (1 – 6). Exponents of prime number ‘p’
in factorial n. Its formula, Question to determine last 3 digits in factorial 10
(Questions – 1). Questions – 2 finding number of zeros (cipher) in 25C10.
L-09: (43 Min.) Questions based on divisibility, Remainder Questions (1-a, b, c, 2, 3, 4, 5)
Determining last digit by cyclicity. Question to determine last digit, last two and last 3
digits in 3100.
Last digit, last 2 & last 3 digits in (17) 256.
L-10: (53 Min.) Summation of Series:
Questions – (1– A, B, C, D, E, F, G, H, I, J, K, L, M, N, O)
L-11: (38 Min.) Summation of Series –
Question (2-a, b, 3, 4, 5)
L-12: (46 Min.) Summation of SeriesProduct of two binomial coefficients. Questions (1– (A), B, C, D, E, F, 2, 3, 4, 5, 6)
L-13: (50 Min.) Summation of Series – When the upper index is variable. Determining the
coefficient in summation series – Questions – (1, 2, 3, 4, 5).
Questions – (1-a, b, 2, 3, 4, 5)
L-14: (35 Min.) Double Sigma –
Questions – (1, 2)
Questions – 3 – Summation of number taken 2 at a time.
Question – 4 – Summation of product of numbers taken 2 at a time.
Questions – (5, 6, 7, 8)
Question - to determining the coefficient of x
L-15: (41 Min.) Binomial expansion for negative or fractional power; required condition to it.
Some expansions. Questions – (1 – 10)
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