Points (1, -1), (2, -2), (4, -5), (-3, -4)
(A) lie in II quadrant
(B) lie in III quadrant
(C) lie in IV quadrant
(D) do not lie in the same quadrant

Solution:

The point given are (1, -1), (2, -2), (4, -5), (-3, -4)

In the points (1, -1), (2, -2), (4, -5)

x-coordinate is positive and y-coordinate is negative

So it lies in the IV quadrant

In the point (-3, -4)

x-coordinate is negative and y-coordinate is negative

So it lies in the III quadrant

Therefore, the points do not lie in the same quadrant.

✦ Try This: Point (10, 0) lies a. on the x –axis, b. in the second quadrant, c. on the y-axis, d. in the fourth quadrant

Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis.

(x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y.

Therefore, the point (10, 0) lies on the x-axis.

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

NCERT Exemplar Class 9 Maths Exercise 3.1 Problem 9

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) (A) lie in II quadrant (B) lie in III quadrant (C) lie in IV quadrant (D) do not lie in the same quadrant

Summary:

The coordinate axes divide the plane into four parts called quadrants. Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) do not lie in the same quadrant

☛ Related Questions:

• If y coordinate of a point is zero, then this point always lies a. in I quadrant b. in II quadrant c . . . .
• The points (–5, 2) and (2, – 5) lie in the a. same quadrant b. II and III quadrants, respectively c. . . . .
• If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicu . . . .