Quadrants in the Cartesian Plane


 
 
Concept Explanation
 

Quadrants in the Cartesian Plane

 

The coordinate axes X'OX and Y'OY divide the plane of the graph paper into four regions XOY, X'OY , X'OY and Y'OX. These four regions are called the quadrants . The regions XOY , X'OY , X'OY' and Y'OX are known as the first , the second , the third and the fourth quadrants respectively. The distance of the point from the y-axis is called the abscissa or x-coordinate of the point. and the distance of the point from the x-axis is called the ordinate or y-coordinate of the point.

  • All the points in first quadrant have both abscissa and ordinate as positive.
  • In the second quadrant abscissa is negative and ordinate are positive.
  • In the third quadrant abscissa and ordinate both are negative.
  • In the fourth quadrant abscissa is positive and ordinate is negative.
  • A point P(x,y) and  large Q_1,Q_2,Q_3, ;and;Q_4 are the four quadrants then the following condition defines the quadrant in which the point will lie:

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    Sample Questions
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    Question : 1

    In which of the following quadrants does the point (11,-15) lies

    Right Option : D
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    Question : 2

    In which of the following quadrant does the point (-7,-9) lie?

    Right Option : C
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    Explanation
    Question : 3

    The abscissa of a point is point is positive in the point lies in ________________

    Right Option : D
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    Explanation
     
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