Binomial Theorem (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

Описание к видео Binomial Theorem (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

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Binomial Theorem (Part 3/3) JEE Main PYQ + Theory | Prabhat Ranjan

Binomial Theorem Question 21-31 (Part 3/3) Class 11, 12 Mathematics Boards, JEE Main, JEE Advanced, IIT JEE Full course from basic JEE Main Question Practice JEE Main PYQ + Theory by Prabhat Ranjan for class 12, boards, IIT JEE 2025, JEE Main 2025, JEE Advanced 2025, IIT JEE 2026, JEE Main 2026, JEE Advanced 2026.

"Binomial Theorem (Part 3/3) JEE Main PYQ + Theory" by Prabhat Ranjan completes the series by addressing questions 21-31, focusing on the application of the Binomial Theorem for students in Class 11 and 12 preparing for board exams, JEE Main, and JEE Advanced for the years 2025 and 2026. This session emphasizes solving higher-level questions, reinforcing concepts through practical examples, and covering all aspects of the theorem to ensure a thorough understanding. The goal is to equip students with the necessary skills to tackle binomial theorem problems effectively in competitive exams.

All these aspects have been covered by Prabhat Ranjan in full detail in his new YouTube video.

I am Prabhat Ranjan, currently pursuing B.Tech in Mechanical Engineering from NIT Jamshedpur.

Timeline:
00:00 Introduction
01:35 21) If (2021)3762 is divided by 17, then the remainder is
11:46 22) If∑_(r=1)^10〖r!(r^3+〖6r〗^2+2r+5)=α(11!)〗, then the value of α is equal to
23:47 23) The term independent of x in expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2) ))^10 is
29:31 24) The number of elements in the set {n € {1, 2, 3, .... , 100} | (11)n greater than (10)n + (9)n} is
35:50 25) 3 x 7^22 + 2 x 10^22 - 44 when divided by 18 leaves the remainder
41:16 26) If the coefficient of a7b8 in the expansion of (a + 2b + 4ab)10 is K.216, then K is equal to
48:05 27) Let C_(r) denote the binomial coefficient of x^r in the expansion of (1+x)^(10). If 1times2^(1)C_(1)+2times2^(2)C_(2)+3times2^(3)C_(3)+...+10times2^(10)C_(10)=alphatimes3^(9) ,then alpha is equal to
01:03:27 28) Let for the 9th term in the binomial expansion of (3 + 6x)n, in the increasing powers of 6x, to be the greatest for x = 3/2. the least value of n is n. If k is the ratio of the coefficient of x6 to the coefficient of x3, then k + n is equal to
01:14:02 29) If 1 + (2 + 49C1 + 49C2 + .... + 49C49) (50C2 + 50C4 + ..... + 50C50) is equal to 2n.m, where m is odd, then n + m is equal to
01:20:19 30) The constant term in the expansion of (2x + 1/x^7+3x^2)^5 is
01:26:25 31) The remainder when (2023)^2023 is divided by 35 is

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