The point (2, – 2, 3) lies in

4^th octant

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6^th octant

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3^rd octant

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7^th octant

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Solution

The correct option is A
4^th octant

The three coordinate planes divide the space into eight parts known as octants. These octants could be named as XOYZ, X′OYZ, X′OY′Z, XOY′Z, XOYZ′, X′OYZ′, X′OY′Z′ and XOY′Z′ and denoted by I, II, III, ..., VIII, respectively.

So, the point (2, – 2, 3) lies in XOY’Z i.e. 4^th octant.

Suggest Corrections

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(y + 3)^{2} = 2 (x - 5)

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State, true or false :

(i) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (2, 3).

(ii) the line $\frac{x}{2} + \frac{y}{3} = 0$ passes through the point (4, -6).

(iii) the point (8, 7) lies on the line y - 7 = 0

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(v) if the point (2, a) lies on the line 2x - y = 3, then a = 5.

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