Question

locate the following points on the cartesian plane (where a€R)
i) (o,a)
ii) (a,o)
iii) (-a,o)
iv) (o,-a)

please give me answer​

Answer 1

Answer:

A(2,3) lies in the 1

st

quadrant (+,+)

B(−3,2) lies in the 2

nd

quadrant (−,+)

C(−5,−5) lies in the 3

rd

quadrant (−,−)

D(5,−8) lies in the 4

th

quadrant (+,−)

E(6,0) lies on the x-axis

F(−4,0) lies on the x'-axis

G(0,9) lies on the y-axis

H(0,−3) lies on the y'-axis

J(7,8) lies in the 1

st

quadrant (+,+)

O(0,0) is the origin.

Answer 2

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

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

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