Question

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. (iv) If two circles are equal, then their radii are equal. (v) In the following figure, if AB = PQ and PQ = XY, then AB = XY.

Answer 1

Answer:

(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

Answer 2

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