Question

Q33.If the coordinates of a point are (3, 0), then it lies in: *
(A) X-axis
(B) Y-axis
(C) At origin
(D) Between x-axis and y-axis​

Answer 1

Answer:

If the coordinates of a point are (3,0) then it lies in x-axis.

Option (a) is correct.....

Answer 2

Given:

The coordinates of a point are (3, 0).

To Find:

The point lies on which of the axis.

Solution:

The given problem can be solved using the concepts of coordinate geometry.

1. Consider a point P(x, y). According to the properties of Coordinate geometry,

=> The point lies on the x-axis if the value of x is a non-zero number and the value of y is 0.

=> The point lies on the y-axis if the value of x is 0 and the value of y is a non-zero number.

=> The point lies in the first quadrant if the values of both x and y are positive numbers.

=> The point lies in the second quadrant if the value of x is positive and the value of y is negative.

=> The point lies in the third quadrant if the value of y is positive and the value of x is negative.

=> The point lies in the fourth quadrant if the values of both x and y are negative numbers.

2. In the point (3, 0),

=> The value of x is a non-zero value whereas y is 0. Hence according to the properties mentioned above. The point lies on the X-axis.

Therefore, the given point (3, 0) lies on the X-axis. Option A is the correct answer.