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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Similar questions

Q. Question 3
Point ( 0, -7) lies

Thinking process
(i) Firstly, check whether any coordinate of the given point is zero or not.
(a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on the y-axis.
(b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on the x-axis.
(c) If x-coordinate and y-coordinate are zero, the point lies on the origin ( or on both the axes.)
(ii) If none of the coordinates is zero, then the point lies in any one of the four quadrants.

A) On the x-axis
B) In the second quadrant
C) On the y-axis
D) In the fourth quadrant

Q. Fill in the blanks:
(i) The

x

-axis and

y

-axis taken together determine a plane known as______
(ii) The coordinates of points in the

X Y

-plane are of the form_____
(iii) Coordinate planes divide the space into_____ octants

A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be the coordinates of a point if it lies on y-axis at a distance of -9 units from x-axis?

Q. If y-coordinate of a point is zero, then it always lies on ____________ axis.

Q. A point is on the

x

-axis. What are its

y

-coordinate and

z

-coordinates?

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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. ___

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.
___