Which of the following statements are true and which are false? Give reasons for youranswers.(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 termin

Explanation

(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.