Vectors & 3D Geometry

JEE Main level, single correct, medium

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Question 2 of 4

The perpendicular distance of the point (1,2,3)(1, 2, 3) from the plane 2x−y+2z=92x - y + 2z = 9 is:

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Answer: (C) 11

d=∣2(1)−2+2(3)−9∣22+(−1)2+22=∣−3∣3=1d = \frac{|2(1) - 2 + 2(3) - 9|}{\sqrt{2^2+(-1)^2+2^2}} = \frac{|-3|}{3} = 1.

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