JEE Main Questions
Evaluate the following: (3+1)5−(3−1)5
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
Find the term in (ba3+a3b)21
which has the same power of aandb˙
Find the last three digits of the number 2727˙
If the number of terms in the expansion of (x+y+z)n
are 36, then find the value of n˙
if the 7th and 18th terms of the expansion (2+a)50
Using binomial theorem (without using the formula for nCr ) , prove that nC4+mC2−mC1nC2=mC4−m+nC1mC3+m+nC2mC2−m+nC3mC1+m+nC4˙
are ositive, then prove that the coefficients of xpandxq
in the expansion of (1+x)p+q
will be equal.
Find an approximation of (0.99)5using the first three terms of its expansion.
Show that 9n+1−8n−9
is divisible by 64, where n
is a positive integer.