JEE Main Questions
is very large as compare to y,
prove that x+yxx−yx˙=1+2x2y2
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Prove that α+β+γ=10∑α!β!γ!10!=310˙
Show that the middle term in the expansion of (1+x)2nisn!(1.3.5(2n−1))2nxn,wheren
is a positive integer.
then find the value of a2+a4+a6++a12˙
term is the first negative term in the expansion of (1+x)7/2,
then find the value of r˙
Find the coefficient of a3b4c5
in the expansion of (bc+ca+ab)6˙
Find the sum r=1∑nr2nCr−1nCr
Find the expansion of (3x2−2ax+3a2)3using binomial theorem.
Find the coefficient of x6y3in the expansion of (x+2y)9.