IIT-JEE 1983 | Mathematical Induction and Binomial Theorem Question 47 | Mathematics

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

Given positive integers $$r > 1,\,n > 2$$ and that the coefficient of $$\left( {3r} \right)$$th and $$\left( {r + 2} \right)$$th terms in the binomial expansion of $${\left( {1 + x} \right)^{2n}}$$ are equal. Then

$$n = 2r$$

$$n = 2r + 1$$

$$n = 3r$$

none of these

IIT-JEE 1983

MCQ (Single Correct Answer)

-0.25

The coefficient of $${x^4}$$ in $${\left( {{x \over 2} - {3 \over {{x^2}}}} \right)^{10}}$$ is

$${{{405} \over {256}}}$$

$${{{504} \over {259}}}$$

$${{{450} \over {263}}}$$

none of these

JEE Advanced Subjects