If the distance of the point... |Vector & 3D|JEEMAIN 2026

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JEE MAIN 2026

28-01-2026 S2

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If the distance of the point $\mathrm{P}(43, \alpha, \beta), \beta<0$, from the line $\overrightarrow{\mathrm{r}}=4 \hat{i}-\hat{k}+\mu(2 \hat{i}+3 \hat{k}), \mu \in \mathbf{R}$ along a line with direction ratios $3,-1,0$ is $13 \sqrt{10}$, then $\alpha^2+\beta^2$ is equal to

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