Question

Write true or false.

(I) Two intersecting lines can also be parallel.
(ii) Unlimited number of lines can be drawn through a point.
(iii) through two distinct points we can draw only one straight line.

Answer 1

(i) False. If two lines are parallel, then they never intersect.

(ii) True. We can draw infinitely many different lines through a single point. We can think of rotating a line around a single point to form a circular fan of lines.

(iii) True. Any line is defined uniquely by two distinct points.