JEE PYQ: Binomial Theorem Question 48
Question 48 - 2019 (10 Jan Shift 1)
If the third term in the binomial expansion of $\left(1 + x^{\log_2 x}\right)^5$ equals 2560, then a possible value of $x$ is:
(1) $\frac{1}{4}$ (2) $4\sqrt{2}$ (3) $\frac{1}{8}$ (4) $2\sqrt{2}$
Show Answer
Answer: (1)
Solution
$(\log_2 x)^2 = 4$, $x = 4$ or $x = 1/4$.