JEE Main 2022 Mathematics question

Let (x − 2)/3 = (y + 1)/(−2) = (z + 3)/(−1) lie on the plane px − qy + z = 5, for some p, q R. The shortest distance of the plane from the origin is :

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

A general point of the line is (, , ). It lies on the plane for all : , i.e. $λ (3p + 2q -

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Question ID VK-035237