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JEE PYQ: Binomial Theorem Question 35

Question 35 - 2019 (08 Apr Shift 1)

The sum of the co-efficients of all even degree terms in $x$ in the expansion of $\left(x + \sqrt{x^3 - 1}\right)^6 + \left(x - \sqrt{x^3 - 1}\right)^6$, $(x > 1)$ is equal to:

(1) 29 (2) 32 (3) 26 (4) 24

Show Answer

Answer: (4)

Solution

Expanding and collecting even degree terms: sum $= 24$.


Learning Progress: Step 35 of 55 in this series