Question

Komal was asked to plot a point 10 units on the left of the origin and other points 4 units directly above the origin. Which of the following are the two points? a) (10,0) and (0,4) bH-10, 0) and (0,4) c) (10,0) and (0,-4) d) (-10, 0) and (4,0)​

Answer 1

Given data:

Set of points,

• a) (10, 0) and (0, 4)
• b) (- 10, 0) and (0, 4)
• c) (10, 0) and (0, - 4)
• d) (- 10, 0) and (4, 0)

To find:

The two points, of which one is 10 units on the left of the origin and other is directly 4 units above the origin

Step-by-step explanation:

a) (10, 0) and (0, 4)

1. The point (10, 0) lies on the positive x-axis that is 10 units on the right of the origin.
2. The point (0, 4) lies on the positive y-axis that is 4 units above the origin.

So, this set is not our required set.

b) (- 10, 0) and (0, 4)

1. The point (- 10, 0) lies on the negative x-axis that is 10 units on the left of the origin.
2. The point (0, 4) lies on the positive y-axis that is 4 units above the origin.

So, this set is our required set.

c) (10, 0) and (0, - 4)

1. The point (10, 0) lies on the positive x-axis that is 10 units on the right of the origin.
2. The point (0, - 4) lies on the negative y-axis that is 4 units below the origin.

So, this set is not our required set.

d) (- 10, 0) and (4, 0)

1. The point (- 10, 0) lies on the negative x-axis that is 10 units on the left of the origin.
2. The point (4, 0) lies on the positive x-axis that is 4 units on the right of the origin.

So, this set is not our required set.

Final Answer:

The two required points are b) (- 10, 0) and (0, 4).