Three Dimensional Geometry Question 61

Question: Distance of the point (1, 2, 3) from the co-ordinate axes are

Options:

A) 13, 10, 5

B) $ \sqrt{13},\sqrt{10},\sqrt{5} $

C) $ \sqrt{5},\sqrt{13},\sqrt{10} $

D) $ \frac{1}{\sqrt{13}},\frac{1}{\sqrt{10}},\frac{1}{\sqrt{5}} $

Show Answer

Answer:

Correct Answer: B

Solution:

From x-axis $ =\sqrt{y^{2}+z^{2}}=\sqrt{4+9}=\sqrt{13} $ From y-axis $ =\sqrt{1+9}=\sqrt{10} $ From z-axis $ =\sqrt{1+4}=\sqrt{5} $ .