Question

A point (x, y, z) is on the XY-plane, then which of the following is always true : (a) x = 0 (b) y = 0 (c) z = 0​

Answer 1

Correct option:

(c) z = 0​

Because if A point (x, y, z) is on the XY-plane, then all the co-ordinates of z is zero.

Answer 2

Given : A point (x, y, z) is on the XY-plane

To Find : which of the following is always true :

(a) x = 0 (b) y = 0 (c) z = 0​

Solution:

A point (x, y, z) is on the XY-plane

Hence z must be 0

As point lies in X-Y plane only hence coordinate of z is 0

For example  ( 1 , 2 , 0)  , ( 3 , 4 , 0)    

Hence ( x , y , 0)  as point on x-y plane

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