Question

Locate the following points in the cartesian plane where a € r ( o, a), (-o,a) , (-a,o) , (a,o)​​

Answer 1

$\bold{ \textsf{} \underline{ \bold{SOLUTION}}} :$

TO DETERMINE :

The Location of the following points on the cartesian plane

• (0,a)

• (a,0)

• (-a, 0)

• (0,-a)

EVALUATION :

$\sf{}For \: any \: point \: \: (x, y)$

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

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LEARN MORE FROM BRAINLY

The point (2, -3) lies in the third quadrant.

State True or False and write correct statement.

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