Question

From this, what can we conclude? We are forced to conclude that two dist
lines cannot have more than one point in common.
EXERCISE 5.1
1. Which of the following statements are true and which are false? Give reasons for y
answers.
(1) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A terminated line can be produced indefinitely on both the sides.
(iv) If two circles are equal, then their radii are equal.
(v) In Fig. 5.9, if AB = PQ and PQ = XY, then AB= XY.
B
Q
Y
Р
Fig. 5.9​

Answer 1

1. False. As we know that there are various points in a plane. Such that A, B, C, D AND E. Now by first postulate we know that a line may be drawn from a given point to another point.

2. False.

3. True, In geometry, by a line, we mean the line in its totality and not a portion of it. A physical example of a perfect line is not possible. Since a line extends indefinitely in both the directions.

4. True, on super imposing the region bounded by one circle on the other if the circle coincides. Then, their centres and boundaries coincide. Therefore, their radii will be equal.

5. True, because things which are equal to the same thing, are equal to one another.