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Let the co-ordinates of one vertex of /A...

Let the co-ordinates of one vertex of `/_ABC` be `A(0,2,alpha)` and the other two vertices lie on the line `(x+alpha)/(5)=(y-1)/(2)=(z+4)/(3)`.For `alpha in Z`,if the area of `/_ABC` is `21` sq.units and the line segment `BC` has length `2sqrt(21)` units,then `a^(2)` is equal to.........

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
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