Let [t] denote the greatest integer t. If the constant term in the expansion of (3x^2 - 12x)^7 is, then [ ] is equal to:

Let [t] denote the greatest integer t. If the constant term in th… — Solution | JEE Mathematics

NVAMediumJEE 2023General Term

Let $[t]$ denote the greatest integer $\leq t$ . If the constant term in the expansion of $(3x^2 - \frac{1}{2x})^7$ is $\alpha$ , then $[\alpha]$ is equal to:

Answer

Correct answer:1275

Step-by-step solution

the solution unavailable

Given: Let $\alpha$ be the constant term in the expansion of $(3x^2 - \frac{1}{2x})^7$ .

Find: $[\alpha]$ .

The solution does not correspond to this question, so the working could not be extracted reliably. From the provided correct answer, the value of $[\alpha]$ is $1275$ .

Common mistakes

A common mistake is choosing the wrong general term in the binomial expansion. The constant term must have the power of $x$ equal to $0$ , so track the exponent of $x$ carefully in the general term before solving for the required index.
Another mistake is confusing the constant term with the numerical coefficient of a particular term. First identify which term makes the exponent of $x$ zero, then compute its full coefficient correctly.

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Answer

Step-by-step solution

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