Without plotting the points indicate the quadrant in which they will lie,

Question:

Without plotting the points indicate the quadrant in which they will lie, if

(i) ordinate is 5 and abscissa is – 3.

(ii) abscissa is – 5 and ordinate is – 3.

(iii) abscissa is – 5 and ordinate is 3.

(iv) ordinate is 5 and abscissa is 3.

Thinking Process

(i) Firstly, write the giver) coordinates in a point form and check the sign of each coordinate of a point.

(ii) Signs of the coordinates of a point in first quadrant are (+, +) in the second quadrant (-, +), in the third quadrant and in the fourth quadrant (+,-).

 

Solution:

(i) The given point is (- 3, 5). Here, abscissa is negative and ordinate is positive, so it lies in II quadrant.

(ii) The given point is (-5, – 3). Here, abscissa and ordinate both are negative, so it lies in III quadrant.

(iii) The given point is (-5, 3). Here, abscissa is negative and ordinate is positive, so it lies in II quadrant.

(iv) The given point is (3, 5). Here, abscissa and ordinate both are positive, so it lies in I quadrant.

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