Question

Name the ray opposite to the ray BE.
A. Ray BA
B. Ray EA
C. Ray ED
D. Data insufficient
     

Answer 1

Hint: Here we use the concept of a ray which has one fixed point and another side can be extended infinitely. Using the points given on the line check which ray is opposite to the ray BE.

Complete step-by-step answer:
We know a ray is a part of a line that has one starting point which is a fixed point and the other side can be extended infinitely. So, we can say a ray has no finite length.
In this figure, there are several points from which we can form many rays in both the directions.
Total number of points on the line are \[5\] which are A,B,C,D,E
First we look at the rays from left to right.
Here we write the starting point first and then use the point in the right direction to denote that ray goes beyond that point.
Therefore,
Rays starting from the point D are DE, DB, DA and DC.
Rays starting from the point C are CE, CB, and CA.
Rays starting from the point A are AE and AB.
Ray starting from point B is BE.
Now we look at the rays from right to left.
Here we write the starting point first and then use the point in the left direction to denote that ray goes beyond that point.
Rays starting from the point E are ED, EC, EA and EB.
Rays starting from point B are BD, BC and BA.
Rays starting from the point A are AD and AC.
Ray starting from point C is CD.
Now we have to find a ray which is opposite to the ray BE.
So we look for ray which has starting point B but goes in the opposite direction to that of BE.
Since ray BE goes from left to right, so we will look at the rays in the opposite direction i.e. in the direction right to left. From the list of rays, rays having starting points as B are BD, BC and BA.
Thus, ray BA is opposite to ray BE.

So, the correct answer is “Option A”.

Note: In these types of questions students make the mistake of not including all the rays in between given points at the extreme left and extreme right which is wrong because a ray will be a ray even if it is denoted by another point on the ray.