JEE Main Questions
Find the 7th term in the expansion of (54x+2x5)8˙
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If the 3rd, 4th , 5th and 6th term in the expansion of (x+α)n
be, respectively, a,b,candd,
prove that c2−bdb2−ac=3c5a˙
Find n, if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of (42+431)n is 6:1
Prove that the coefficient of xr in the expansion of (1−2x)−21 is (2r)(r!)22r!
Write the general term in the expansion of (x2−y)6.
Prove that 1C1−2C2+3C3−4C4++n(−1)n−1Cn=1+21+31++n1˙
If the sum of coefficient of first half terms in the expansion of (x+y)nis256
, then find the greatest coefficient in the expansion.
Find the value of 4nC0+4nC4+4nC8++4nC4n
Find (i) the last digit, (ii) the last two digits, and (iii) the last three digits of 17256˙