Question

1. Which of the following statements are true and which are false? Give reasons for your answers.

(i) 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.​

Answer 1

Answer:

(i)True

(ii)True

(ii)False

reasons:-

(i)Only one line can pass through a single point. There are infinite numbers of lines which pass through two distinct points. A terminated line can be produced indefinitely on both the sides. If two circles are equal, then their radii are equal.

(ii)Only one line can pass through a single point. There are infinite numbers of lines which pass through two distinct points. A terminated line can be produced indefinitely on both the sides. If two circles are equal, then their radii are equal.

(iii)Evidence: According to Euclid's postulate 2; a terminated line can be produced indefinitely.

Answer 2

Answer:

i) True, because through a single point only one line can be drawn.

ii) True, because through two distinct points infinite no of lines can be drawn.

iii) True, Terminated line can be produced indefinitely on both the sides.

Hope it helps.