The point $(3, - 5, 6)$ lies in

I I

Octant

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I I I

Octant

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I V

Octant

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V I

Octant

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Solution

The correct option is C $I V$ Octant
The $x$ -coordinate, $y$ -coordinate and $z$ -coordinate of point $(3, - 5, 6)$ are positive, negative and positive respectively.

Octants $I$ $I I$ $I I I$ $I V$ $V$ $V I$ $V I I$ $V I I I$

$x$ $+$ $-$ $-$ $+$ $+$ $-$ $-$ $+$

$y$ $+$ $+$ $-$ $-$ $+$ $+$ $-$ $-$

$z$ $+$ $+$ $+$ $+$ $-$ $-$ $-$ $-$

Therefore this point lies in octant $I V (+, -, +)$

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