Question

In which quadrant does the following points lie? a) (3, -8) b) (-1, -3)​

Answer 1

a) (3, - 8) lies in fourth quadrant

b) (- 1, - 3) lies in third quadrant

Given :

The points a) (3, - 8) b) (- 1, - 3)

To find :

The quadrant where the point lies

Concept :

In two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant

1. Quadrant I : Both the x - coordinates and y - coordinates are positive

2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive

3. Quadrant III : Both the x - coordinates and y - coordinates are negative

4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative

Solution :

Step 1 of 2 :

Write down the given points

Here the given points are (3, - 8) and (- 1, - 3)

Step 2 of 2 :

Find the quadrant where the point lies

For the point (3, - 8)

x - coordinates = Abscissa = 3 which is positive

y - coordinate = Ordinate = - 8 which is negative

So the point lies in fourth quadrant

For the point (- 1, - 3)

x - coordinates = Abscissa = - 1 which is negative

y - coordinate = Ordinate = - 3 which is negative

So the point lies in third quadrant

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