JEE Main Questions
Evaluate the following: (x+x2−1)6+(x−x2−1)6
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If the number of terms in the expansion of (x+y+z)n
are 36, then find the value of n˙
Prove that 1+.nC1cos2x+.nC2cos4x+.nC3cos6x+…….nC1sin2x+.nC2sin4x+.nC3sin6x+…..
Find the number of terms which are free from radical signs in the expansion of (y1/5+x1/10)55˙
If r=0∑n.nC0n=r=0∑n2..nCrn2−3n+3, then
Find the remainder when 798
is divided by 5.
If (1+x+x2)20=a0+a1x2……+a40x40, then following questions. The value of a0+a1+a2+……+a19 is
Prove that α+β+γ=10∑α!β!γ!10!=310˙
The value of .15C02−.15C12+.15C22−....−.15C152 is