JEE Main 2025 Mathematics question

MathematicsBinomial TheoremJEE Main 2025

The number of integral terms in the expansion of is

Answer: (2)

Solution

requires r/8 and (1016-r)/2 to be integers, giving r = 0,8,16,...,1016, i.e., r=8k for k=0 to 127. Total 128 terms.

Question ID VK-002810