. 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

Best Answer

Explanation:

For (i),In the following figure you can see point P is a common point. There are infinitely many lines passing through point P.

 infinitely

For(ii),In the following figure you can see A and B are two distinct points with  only one line which passes through two distinct points. 

distinct points

For(iii) In the following figure you can see a terminated line can be produced indefinitely on both sides.

 infinitely

For (iv)  If two circles are equal then circles superimpose each other so radii of these type of circles are equal.

For (v) From the following figure it is clear that AB=XY.

 

Correct option is C 4cm

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