If the distance of the point P(43,α,β), β<0, from the line r = 4… | JEE Main 2026 Mathematics PYQ

NVAMediumJEE Main 2026 · 28 January, Shift 2Equation of Line in 3D

If the distance of the point $P(43,\alpha,\beta)$ , $\beta<0$ , from the line

\vec r = 4\hat i-\hat k+\mu(2\hat i+3\hat k),\ \mu\in\mathbb{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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