Which of the following statement are ture and which are false? Give reasons for your answers? (i) Only one line can pass through a single point. ltbr. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both sides. (iv) If two circles are equal, then their radii are equal. (v) In the given figures belows, if AB = PQ and PQ = XY, then AB = XY.

Which of the following statement are ture and which are false? Give re

1.	Which of the following statement are ture and which are false? Give reasons for your answers? (i) Only one line can pass through a single point. ltbr. (ii) There are an infinite number of lines which pass through two distinct points. (iii) A terminated line can be produced indefinitely on both sides. (iv) If two circles are equal, then their radii are equal. (v) In the given figures belows, if AB = PQ and PQ = XY, then AB = XY.
Answer» SOLUTION :(i) False : SINCE any number of lines can PASS through a point. (ii) False : This contradicts Postulate 1. (iii) True : By Euclid's 2nd Postulate. (iv) True : Superimposing the region of one CIRCLE on the other, we FIND them coinciding. So, their centres and boundaries coincide. Thus, their radii will coincide i.e., they are equal. (v) True : Euclid's 1st Axiom.