The shortest distance of the point \left(\right. 1 , 2 , 3 \left.\right) from x^{2} + y^{2} = 0 is

Engineering

Mathematics

Line of Greatest Slope

Question

The shortest distance of the point

(1, 2, 3)

from

x^{2} + y^{2} = 0

5

\sqrt{5}

2

\sqrt{14}

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x^{2} + y^{2} = 0

∴

(x, y) \equiv (0, 0)

Let point be

\equiv (0, 0, z)

d \equiv \sqrt{{(1 - 0)}^{2} + {(2 - 0)}^{2} + {(z - 3)}^{2}} = \sqrt{1 + 4 + {(z - 3)}^{2}} \Rightarrow {(z - 3)}^{2} \geq 0

d_{m i n} = \sqrt{5}

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