Let P be the plane passing through the points … and …. For …, if the distances of the points … and … from the plane P are 2 and 3 respectively, then the positive value of a is :

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3d Geometry

JEE Main 2023 · 11 Apr, Evening shift · Q2610

MathematicsHard249×since 2002Q2610

Let P be the plane passing through the points

(5,3,0),(13,3,-2)

and

(1,6,2)

. For

\alpha \in \mathbb{N}

, if the distances of the points

\mathrm{A}(3,4, \alpha)

and

\mathrm{B}(2, \alpha, a)

from the plane P are 2 and 3 respectively, then the positive value of a is :