Question

nercise s
Cis
Os Which of the Sollowing statement ou twand
which are false I Give
мажоты ол ымы олаласына
Only one lines
can pass through a single
point.
(ii) There are an infinite number of lines
which
pass
through two distind points
Gil od tuminated the line
can be pruneluceel inele.-
finitely on both
the sides
41
c)
tuco cercles
their naelti
equal.
(v) big
In the BJAB » PQ and po:
Thin ABY XY.
ab​

Answer 1

Answer:

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Answer 2

Question :-

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

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

answers.

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

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

(iv) Iftwo circles are equal, then their radii are equal.

In Fig. 2.9. if AB=PQ and PQ=XY, then AB=XY.

​

Answer :-

(i) False

Reason : If we mark a point O on the surface of a paper. Using pencil and scale, we can draw infinite number of straight lines passing

through O.

(ii) False

Reason : In the following figure, there are many straight lines passing through P. There are many lines, passing through Q. But there is one and only one line which is passing through P as well as Q.

(iii) True

Reason: The postulate 2 says that “A terminated line can be produced indefinitely.”

(iv) True

Reason : Superimposing the region of one circle on the other, we find them coinciding. So, their centres and boundaries coincide.

Thus, their radii will coincide or equal.

(v) True

Reason : According to Euclid’s axiom, things which are equal to the same thing are equal to one another.

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