Question

Point $\left(-3,5\right)$ lies in the

• A. first quadrant
• B. second quadrant
• C. third quadrant
• D. fourth quadrant

Answer 1

The correct option is B

second quadrant

Step 1. Explanation for the correct option:

The abscissa is the coordinates of the $x$-axis on the cartesian plane. It is the distance measured from the $y$-axis to the $x$-axis.

On a graph, the abscissa and ordinate are used to represent a point's location.

It is given that $\left(-3,5\right)$ is of the form $\left(-x,y\right)$.

It is known that every point in the second quadrant has a negative abscissa and a positive ordinate.

In the given point $\left(-3,5\right)$, the abscissa is negative, and the ordinate is positive.

This implies that the given point lies in the second quadrant as shown in the graph below:

Step 2. Explanation for the incorrect options:

Since the abscissa is negative and the ordinate is positive in the given point, the given point lies in the second quadrant.

Therefore, options $\mathrm{A},\mathrm{C},$ and $\mathrm{D}$ are incorrect.

Hence, option $\mathrm{B}$ is correct.