Distance of the point (1,2,3) from the coordinate axes are

# Distance of the point (1,2,3) from the coordinate axes are

1. A

13, 10, 5

2. B

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

3. C

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

4. D

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

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### Solution:

Let point be P(x,y, z) = (1 ,2,3)
The distance from r-axis $=\sqrt{{\mathrm{y}}^{2}+{\mathrm{z}}^{2}}$
$=\sqrt{4+9}=\sqrt{13}$
The distance from y-axis $=\sqrt{{\mathrm{x}}^{2}+{\mathrm{z}}^{2}}=\sqrt{{1}^{2}+{3}^{2}}$
$=\sqrt{1+9}=\sqrt{10}$
The distance from z-axis $=\sqrt{{\mathrm{x}}^{2}+{\mathrm{y}}^{2}}=\sqrt{{1}^{2}+{2}^{2}}$
$=\sqrt{1+4}=\sqrt{5}$

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