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Course / Category - 8th Foundation NTSE

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8th Foundation NTSE

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Maths / Coordinate Geometry / Quadrants in the Cartesian Plane

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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:

If x>0 and y> 0 the P(x,y) lie in $large Q_1$

f x< 0 and y> 0 the P(x,y) lie in $large Q_2$

f x< 0 and y< 0 the P(x,y) lie in $large Q_3$

f x>0 and y< 0 the P(x,y) lie in $large Q_4$

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Quadrants in the Cartesian Plane

₹14400 ₹10000 +
Taxes