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Question

Mathematics Question on coordinates of a point in space

The distance of the point P(a, b, c) from the x-axis is

A

b2+c2\sqrt{b^2 + c^2}

B

a2+c2\sqrt{a^2 + c^2}

C

a2+b2\sqrt{a^2 + b^2}

D

none of these

Answer

b2+c2\sqrt{b^2 + c^2}

Explanation

Solution

Let (a, 0, 0) be a point on x-axis. Required distance =(a−a2)+(b−0)2+(c−0)2= \sqrt{(a - a^2) + (b - 0)^2 + (c - 0)^2} =b2+c2 = \sqrt{b^2 + c^2}