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Three Dimensional Geometry: JEE Mains 2022 June 29 Shift 2

Hard· Equation of a plane· +4 / −1

Let

\dfrac{x-2}{3}=\dfrac{y+1}{-2}=\dfrac{z+3}{-1}

lie on the plane

px-qy+z=5

, for some

p,q\in\mathbb R

. The shortest distance of the plane from the origin is :

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