Mathematics · 2021
JEE Main · 16 March 2021, Shift 1 · Q64
If for a >0, the feet of perpendiculars from the points A ( a,-2 a, 3) and B (0,4,5) on the plane l x+ m y+ n z=0 are points C (0,- a,-1) and D…
If for $\displaystyle \mathrm{a}>0$, the feet of perpendiculars from the points $\displaystyle \mathrm{A}(\mathrm{a},-2 \mathrm{a}, 3)$ and $\displaystyle \mathrm{B}(0,4,5)$ on the plane $\displaystyle l x+\mathrm{m} y+\mathrm{n} z=0$ are points $\displaystyle \mathrm{C}(0,-\mathrm{a},-1)$ and D respectively, then the length of line segment CD is equal to :
Official answer
(2)
$\displaystyle \sqrt{66}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.