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Question

The diagram shows the four quadrants P, Q R and S on a Cartesian plane.
Which of the following points lie in quadrant S?
I (-1, 2)
II (-1, -2)
III (1, -2)
IV (2,-1)

106107_7a4e1eb378ef4e21a393e20313dbd2c3.png

A
I and II only
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B
I and IV only
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C
II and III only
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D
III and IV only
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Solution

The correct option is D III and IV only
The coordinates of any point on 2D plane is given in form of (x,y) coordinates where x-coordinate is the coordinates along X-plane and similarly y-coordinate along Y plane

In order to be a point in 4th Quadrant, the value of x has to be positive and the value of Y should be negative.

Hence the points III and IV are in the 4th Quadrant.

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