In which quadrant does the point(9, 0) lie?a)x-axisb)y-axisc)3rdd)None...
Ans.
The first quadrant has both positive x, and y coordinates. The fourth quadrant has positive x coordinates but negative y coordinates. The given point is on the boundary between these quadrants where the x coordinates are positive and the y coordinate is always 0; it is called the positive x axis.
In which quadrant does the point(9, 0) lie?a)x-axisb)y-axisc)3rdd)None...
The point (9, 0) lies on the x-axis.
Explanation:
To determine the quadrant in which a point lies, we need to consider the signs of its coordinates.
- In the first quadrant (Q1), both the x-coordinate and y-coordinate are positive.
- In the second quadrant (Q2), the x-coordinate is negative and the y-coordinate is positive.
- In the third quadrant (Q3), both the x-coordinate and y-coordinate are negative.
- In the fourth quadrant (Q4), the x-coordinate is positive and the y-coordinate is negative.
In the given point (9, 0), the x-coordinate is positive, and the y-coordinate is zero. Since the y-coordinate is zero, it means the point lies on the x-axis.
Therefore, the point (9, 0) lies on the x-axis and does not lie in any of the four quadrants.
So, the correct answer is option A - x-axis.