Mathematics · 2023
JEE Main · 29 January 2023, Shift 2 · Q75
The plane 2 x-y+ z =4 intersects the line segment joining the points A (a,-2,4) and B (2, b,-3) at the point C in the ratio 2: 1 and the distance of…
The plane $\displaystyle 2 x-y+\mathrm{z}=4$ intersects the line segment joining the points $\displaystyle \mathrm{A}(a,-2,4)$ and $\displaystyle \mathrm{B}(2, b,-3)$ at the point C in the ratio $\displaystyle 2: 1$ and the distance of the point C from the origin is $\displaystyle \sqrt{5}$. If $\displaystyle a b<0$ and P is the point $\displaystyle (a-b, b, 2 b-a)$ then $\displaystyle \mathrm{CP}^2$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \frac{17}{3}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.