Q46. - Geometry

Question

a. On $\overrightarrow{\mathbf{A}\mathbf{B}}$, how many points are there whose distance from point A is 3 cm?

b. On $\overleftrightarrow{\mathbf{A}\mathbf{B}}$, how many points are there whose distance from point A is 3 cm?

Step-by-Step Solution

Answer

a. 1 point.

b. 2 point.

a. Step 1- Check the statement.

If ray $\overrightarrow{AB}$ goes forever in the right direction it can contain points on the right side of $A$.

a. Step 2- Apply the concept of ray.

A ray starts with a point and goes on forever in one direction.

a. Step 3- Step description.

From the statement it can be concluded that there can be only one point whose distance from point $A$ is 3 cm, on the right side $A$.

Hence, the answer is 1 point.

b. Step 1- Check the statement.

If line $\overleftrightarrow{AB}$ goes forever in the both right and left directions and it can contain points only on the right or left side of $A$.

b. Step 2- Apply the concept of line.

A line extends forever in both the directions.

b. Step 3- Step description.

From the statement it can be concluded that there can be two points whose distance from point $A$ is 3 cm, on the right side $A$ and other on left of $A$.

Hence, the number of points is 2.