Question

locate the following points on the Cartesian plane (where (a€R))
1 (0,a)
2(a,0)
3(-a,0)
4(0,-a)​

Answer 1

locate a and o on Cartesian line in different quadrants.

Answer 2

Answer:

SOLUTION

TO DETERMINE

The Location of the following points on the cartesian plane

(0,a)

(a,0)

(-a, 0)

(0,-a)

EVALUATION

Abscissa = x

Ordinate = y

Let us assume that a > 0

CHECKING FOR THE POINT (0,a)

For the point (0,a)

Abscissa = 0

Ordinate = a which is positive

So the point lies on Positive Y axis

CHECKING FOR THE POINT (a,0)

For the point (a, 0)

Abscissa = a which is positive

Ordinate = 0

So the point lies on Positive X axis

CHECKING FOR THE POINT (-a,0)

For the point (-a, 0)

Abscissa = - a which is negative

Ordinate = 0

So the point lies on Negative X axis

CHECKING FOR THE POINT (0,-a)

For the point (0,-a)

Abscissa = 0

Ordinate = - a which is negative

So the point lies on Negative Y axis