Abscissa of a point is positive in
a. I and II quadrants
b. I and IV quadrants
c. I quadrant only
d. II quadrant only

Solution:

In the coordinate (x, y) is used to denote the point in the cartesian plane

The first coordinate x is called the abscissa while the second coordinate is called the ordinate

Abscissa is the distance of point from y axis scaled with x axis

Ordinate is the distance of point from x axis scaled with y axis

Both abscissa and ordinate are together known as coordinates

We know that the signs of the coordinates are

+, + in the I quadrant

-, + in the II quadrant

-, - in the III quadrant

+, - in the IV quadrant

The abscissa is positive in the I and IV quadrant

Therefore, the abscissa of a point is positive in I and IV quadrants.

✦ Try This: Point (–2, 3) lies in the a. first quadrant, b. second quadrant, c. third quadrant, d. fourth quadrant

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

NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 17

Abscissa of a point is positive in a. I and II quadrants b. I and IV quadrants c. I quadrant only d. II quadrant only

Summary:

In the Cartesian plane, the horizontal line is called the x-axis and the vertical line is called the y-axis. Abscissa of a point is positive in I and IV quadrants

☛ Related Questions:

• The points whose abscissa and ordinate have different signs will lie in a. I and II quadrants b. II . . . .
• In Fig. 3.1, coordinates of P are a. (– 4, 2) b. (–2, 4) c. (4, – 2) d. (2, – 4)
• In Fig. 3.2, the point identified by the coordinates (–5, 3) is a. T b. R c. L d. S