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Question

How many of the following statements are correct?
1. If a point lies on the y-axis its x & z-coordinates are zero.
2. If a point lies on the x-z plane, its y-coordinate is zero.

3. The x-axis and y-axis taken together to determine a plane known as x-y plane.

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Solution

1. If a point P lies on the y-axis
Coordinates of the point should be (0, y, 0)
x & y coordinates must be zero.
2. If a point lies on the x-z plane, its coordinate should be (x, 0, z)
Y-coordinate must be zero
3. X-axis& y-axis taken together to determine a plane known as x-y plane. This is the definition of the plane.
All of the given three statements are correct.


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