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The diagram shows the four quadrants P, Q, R and S on a Cartesian plane. Which of the following points lie in the quadrant S?

$I (- 1, 2) II (- 1, - 2) III (1, - 2) IV (2, - 1)$

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I and II only

I and IV only

II and III only

III and IV only

answer is D.

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Detailed Solution

From the above diagram, it is clear that
Region P represents 1st quadrant.
Region Q represents 2nd quadrant.
Region R represents 3rd quadrant.
Region S represents 4th quadrant.
The four points are as follows:

II (- 1, 2) II (- 1, - 2) III (1, - 2) IV (2, - 1)

We have to compare each and every point with

A (x_{1}, y_{1}

)
I (-1,2)

x_{1} = - 1, y_{1} = 2

.
In this point,

x_{1} < 0, y_{1} > 0

Hence, I (-1,2) is said to be in 2nd quadrant.
II (-1,−2)

x_{1} = - 1, y_{1} = - 2

In this point,

x_{1} < 0, y_{1} < 0

Hence,
II (-1,−2)
Hence, it is said to be in 3rd quadrant.

III (1, - 2)

x_{1} = 1, y_{1} = - 2

In this point,

x_{1} > 0, y_{1} < 0

Hence,
III (1,−2)is said to be in 4th quadrant. IV (2,−1) we can say that

x_{1} = 2, y_{1} = - 1

In this point,

x_{1} > 0, y_{1} > 0

Hence,

IV (2, - 1

)is said to be in the 4th quadrant.
Hence, option 4 is the correct answer.

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

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The diagram shows the four quadrants P, Q, R and S on a Cartesian plane. Which of the following points lie in the quadrant S?

$I (- 1, 2) II (- 1, - 2) III (1, - 2) IV (2, - 1)$