Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q81
If the least and the largest real values of α, for which the equation z+α|z-1|+2 i=0 ( z ∈ C and i=√ -1 ) has a solution, are p and q respectively;…
If the least and the largest real values of $\displaystyle \alpha$, for which the equation $\displaystyle z+\alpha|z-1|+2 i=0$ ( $\displaystyle z \in \mathrm{C}$ and $\displaystyle i=\sqrt{-1}$ ) has a solution, are p and q respectively; then $\displaystyle 4\left(\mathrm{p}^2+\mathrm{q}^2\right)$ is equal to
\_\_\_\_.
Official answer
10
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.