Question

Point $\left( 0,-3 \right)$ lies on:
A. +ve X-axis
B. –ve X-axis
C. –ve Y-axis
D. –ve Y-axis

Answer 1

Hint: The above given question is of coordinate geometry. Coordinate geometry is considered to be one of the most interesting concepts of mathematics. Actually coordinate geometry describes the link between geometry and algebra through graphs and lines. It provides geometric aspects in algebra and enables them to solve geometric problems. It is a part of geometry where the position of points on the plane is described using an ordered pair of numbers like (a, b) where a is on the x-axis and b is on the y-axis.

Complete step-by-step answer:
The given points are $\left( 0,-3 \right)$.
We all are familiar with plotting graphs on a plane, from the tables of numbers for both linear and nonlinear equations. The number line which is also known as the Cartesian plane. The Cartesian plane is divided into four quadrants by two axes which are perpendicular to each other. The horizontal line is called the x-axis and the vertical line is called the y-axis.
Now in the first quadrant the points of x-axis and y-axis both are positive: (+x, +y)
In second quadrant the points of x-axis are negative and points of y-axis are positive: (-x, +y)
In third quadrant both y-axis and y-axis are negative : (-x, -y)
And in the fourth quadrant x-axis is positive and y-axis is negative: (+x, -y)

The point at which the axes intersect is known as the origin.
Now the given point is $\left( 0,-3 \right)$here $0$ lies on the x-axis and $-3$ lies on –y-axis. If we draw graph it will be looks like

Now we can easily see that the point $\left( 0,-3 \right)$lies on –y-axis.

So, the correct answer is “Option C”.

Note: The location of any point on a plane is expressed by a pair of values (x, y) and these pairs are known as the coordinates. Here the important thing to note is that in pairs the first number always lies on the x-axis and the second number always lies on the y-axis. Sometimes students make mistakes by writing the wrong pair or by placing the wrong points.