Class 11

Math

JEE Main Questions

Binomial Theorem

Find the term independent of $x$ in the expansion of $(1+x+2x_{3})[(3x_{2}/2)−(1/3x)]_{9}$

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Find the sum $r=1∑n r_{2}_{n}C_{r−1}_{n}C_{r} $ .

If the coefficient of 4th term in the expansion of $(a+b)_{n}$ is 56, then n is

Find the coefficient of $x_{20}$ in $(x_{2}+2+x_{2}1 )_{−5}(1+x_{2})_{40}˙$

Find the value of $x,$ for which $1/(5+4x )$ can be expanded as infinite series.

Find the remainder when $1690_{2608}+2608_{1690}$ is divided by 7.

If the coefficients of three consecutive terms in the expansion of $(1+x)_{n}$ are in the ratio 1:7:42, then find the value of $n˙$

Find a, b and n in the expansion of $(a+b)_{n}$if the first three terms of the expansion are 729, 7290 and 30375, respectively.

If $(r+1)th$ term is the first negative term in the expansion of $(1+x)_{7/2},$ then find the value of $r˙$