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Question

Which of the following statement is true?

A
(2,3) lies in the II quadrant
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B
(-2,3) lies in the II quadrant
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C
(2,-3) lies in the IV quadrant
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D
(-2,-3) lies in the IV quadrant
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Solution

The correct options are
B (-2,3) lies in the II quadrant
C (2,-3) lies in the IV quadrant

We know that,

  • If abscissa > 0 and ordinate > 0 then, the point will lie in the I quadrant.
  • If abscissa < 0 and ordinate > 0 then, the point will lie in the II quadrant.
  • If abscissa < 0 and ordinate < 0 then, the point will lie in the III quadrant.
  • If abscissa > 0 and ordinate < 0 then, the point will lie in the IV quadrant.

In (2,3), 2 > 0 and 3 > 0, so it will lie in the Ist quadrant.

In (-2,3), -2 < 0 and 3 > 0, so it will lie in II quadrant.

In (2,-3), 2 > 0 and -3 < 0, so it will lie in the IV quadrant.

In (-2,-3), -2 < 0 and -3 < 0, so it will lie in III quadrant.




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