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1. \[A{\text{ }}\left( { - 3,{\text{ }}2} \right)\]

2. \[B{\text{ }}\left( {5,{\text{ }}3} \right)\]

3. \[C{\text{ }}\left( {0,{\text{ }}4} \right)\]

4. \[D{\text{ }}\left( { - 3,{\text{ }}0} \right)\]

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*If the first coordinate i.e. the x coordinate as well as the second coordinate i.e. the y coordinate are positive then the point is in the first quadrant.

*If the first coordinate i.e. the x coordinate is negative and the second coordinate i.e. the y coordinate is positive then the point is in the second quadrant.

*If the first coordinate i.e. the x coordinate as well as the second coordinate i.e. the y coordinate are negative then the point is in the third quadrant.

*If the first coordinate i.e. the x coordinate is positive and the second coordinate i.e. the y coordinate is negative then the point is in the fourth quadrant.

*If the first coordinate i.e. the x coordinate is zero then the point lies on y axis

*If the second coordinate i.e. the y coordinate is zero then the point lies on x axis

Let us consider point A

1. The given point is \[A{\text{ }}\left( { - 3,{\text{ }}2} \right)\]

The x coordinate is +5

The y coordinate is +3

Now as the first coordinate i.e. the x coordinate is negative and the second coordinate i.e. the y coordinate is positive.

Therefore the given point A lies in the second quadrant.

Now let us consider point B

2. The given point is \[B{\text{ }}\left( {5,{\text{ }}3} \right)\]

The x coordinate is -3

The y coordinate is +2

Now as the first coordinate i.e. the x coordinate as well as the second coordinate i.e. the y coordinate are positive.

Therefore the given point B lies in the first quadrant.

Now let us consider point C

3. The given point is \[C{\text{ }}\left( {0,{\text{ }}4} \right)\]

The x coordinate is 0

The y coordinate is +4

Now as the first coordinate i.e. the x coordinate is zero.

Therefore the given point C lies on y axis.

Now let us consider point D

4. The given point is \[D{\text{ }}\left( { - 3,{\text{ }}0} \right)\]

The x coordinate is -3

The y coordinate is 0

Now as the second coordinate i.e. the y coordinate is zero.

Therefore the given point D lies on the x axis.