Binomial Theorem

JEE Main 2024 (Online) 29th January Evening ShiftNumericalEasy📈 Topic in 10% papers+4

Ques. 1JEE Main 2024, 29 January (Evening Shift)

Remainder when 643232 is divided by 9 is equal to .

Answer

Solution

64=63+1=9 7+1 64 1 9

64N=(1+63)N=1+63( ) for any N N

643232 1 9

Answer: 1

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Ques. 2JEE Main 2024, 27 January (Morning Shift)

If A denotes the sum of all the coefficients in the expansion of (1-3x+10x2 )n and B denotes the sum of all the coefficients in the expansion of (1+x2 )n, then :

B=A3
3A=B
A=3B
A=B3

Ques. 3JEE Main 2024, 27 January (Evening Shift)

The coefficient of x2012 in the expansion of (1-x)2008 (1+x+x2 )2007 is equal to .

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