The points whose abscissa and ordinate have different signs will lie in
a. I and II quadrants
b. II and III quadrants
c. I and III quadrants
d. II and IV quadrants

Solution:

In the cartesian plane, the coordinates (x, y) denotes the point

Here x is the abscissa and y is the ordinate

Distance of point from y axis scaled with x axis is known as the abscissa

Distance of point from x axis scaled with y axis is known as the ordinate

The abscissa and ordinate together are called the coordinates

The signs of the coordinates in the quadrants are

I quadrant - +, +

II quadrant - -, +

III quadrant - -, -

IV quadrant - +, -

Therefore, the points whose abscissa and ordinate have different signs will lie in II and IV quadrants.

✦ Try This: The points whose abscissa and ordinate have same signs will lie in a. I and II quadrants, b. II and III quadrants, c. I and III quadrants, d. II and IV quadrants

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 3

NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 18

The points whose abscissa and ordinate have different signs will lie in a. I and II quadrants b. II and III quadrants c. I and III quadrants d. II and IV quadrants

Summary:

The coordinate axes divide the plane into four parts called quadrants. The points whose abscissa and ordinate have different signs will lie in II and III quadrants

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