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

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

A

13, 10, 5

B

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

C

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

D

113,110,15\frac { 1 } { \sqrt { 13 } } , \frac { 1 } { \sqrt { 10 } } , \frac { 1 } { \sqrt { 5 } }

Answer

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

Explanation

Solution

From x-axis=y2+z2=4+9=13= \sqrt { y ^ { 2 } + z ^ { 2 } } = \sqrt { 4 + 9 } = \sqrt { 13 }

From y-axis =1+9=10= \sqrt { 1 + 9 } = \sqrt { 10 }

From z-axis =1+4=5= \sqrt { 1 + 4 } = \sqrt { 5 }.