MCQ
If $n$ is a positive integer greater than unity and $z$ is a complex number satisfying the equation ${{z}^{n}}={{(z+1)}^{n}}$, then
- ✓$\operatorname{Re}(z)<0$
- B$\operatorname{Re}(z)>0$
- C$\operatorname{Re}(z)=0$
- DNone of these
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In the expansion of $\Big(\frac{1}{2}\text{x}^{\frac{1}{3}}+\text{x}^{\frac{-1}{5}}\Big)^{8},$ the term independent of x is:
$\text{T}_{5}$
$\text{T}_{6}$
$\text{T}_{7}$
$\text{T}_{8}$
The negation of the statement.
“7 is greater than 8” is.
If the sum of the binomial coefficients of the expansion $\Big(2\text{x}+\frac{1}{\text{x}}\Big)^{\text{n}}$ is equal to 256, then the term independent of x is: