Question

From this, what can we conclude? We are forced to conclude that two distinct
cannot have more than one point in common.
EXERCISE 5.1
Which of the following statements are true and which are false? Give reasons for your
answers.
(1) 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 Fig. 5.9, if AB = PQ and PQ = XY, then AB = XY.
B
Fig. 5.9
0-11 nuing tormeAre there other terms that need to be​

Answer 1

Correct question:-

1. Which of the following statements are true and which are false? Give reasons for your answers.

1.Only one line can pass through a single point.

2.There are an infinite number of lines which pass through two distinct points.

3.A terminated line can be produced indefinitely on both the sides.

4.If two circles are equal, then their radii are equal.

5.In Fig. 5.9, if AB = PQ and PQ = XY, then AB = XY.

____________________________

$\huge\star{\pink{\underline{\underline{\mathrm{Explanation:}}}}}$

(i) $\large\star$$\bold{\blue{\boxed{\underline{False}}}}$

$\righthookarrow$There can be infinite number of lines that can be drawn through a single point. Hence, the statement mentioned is False

(ii) $\large\star$$\bold{\blue{\boxed{\underline{False}}}}$

$\righthookarrow$ Through two distinct points there can be only one line that can be drawn. Hence, the statement mentioned is False

(iii) $\large\star$$\bold{\blue{\boxed{\underline{True}}}}$

$\righthookarrow$ A line that is terminated can be indefinitely produced on both sides as a line can be extended on both its sides infinitely. Hence, the statement mentioned is True.

(iv) $\large\star$ $\bold{\blue{\boxed{\underline{True}}}}$

$\righthookarrow$ The radii of two circles are equal when the two circles are equal. The circumference and the centre of both the circles coincide; and thus, the radius of the two circles should be equal. Hence, the statement mentioned is True.

(v) $\large\star$$\bold{\blue{\boxed{\underline{True}}}}$

$\righthookarrow$According to Euclid’s 1st axiom- “Things which are equal to the same thing are also equal to one another”. Hence, the statement mentioned is True.

Answer 2

heey buddy

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