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 line can be produced indefinitely on both sides.
(iv) If two circles are equal, then their radii are equal.
(v) if AB=PQ and PQ=XY, then AB=XY.

A

(i),(ii) - True
(iii),(iv),(v) - False

B

(i),(ii),(iii) - True
(iv),(v) - False

C

(i),(ii) - False
(iii),(iv),(v) - True

D

(i),(ii),(iii) - False
(iv),(v) - True

(i) Only one line can pass through a single point.

Answer: False

Reason: From a point infinite many lines can pass through

(ii) There are an infinite number of lines which pass through two distinct points.

Answer: False

Reason: From 2 distinct point only one straight line can pass

(iii) A terminated line can be produced indefinitely on both the sides.

Answer:True

Reason: Line segment can produced both side indefinitely and become a line.

(iv) If two circles are equal, then their radii are equal.
Answer: True

Reason: The only dimension is required to draw a circle is radius.If two radius are equal then two circle drawn ate definitely equal.

(v) In the following figure, if AB = PQ and PQ = XY, then AB = XY.

Answer: True

Reason: This is Euclid's axioms,if two things are equal ,second is equal to third then first and third will be equal.hence AB= XY