Question

.1.
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.
(ii) 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.
Y
B
о
X
P.
Fig. 5.9​

Answer 1

Answer:

(¡) False

(ii) False

(iv) True

(v) True

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Answer 2

Answer:

(I) false, because infinite no. of lines passes through one point.

(ii) false, because only one line can be drawn from two points.

(iii) false

(iv) true, if there areas are equal then their radii are also equal

let the circles be c1 and c2 and their areas be A1 and A2

Their areas are equal then,

A1=A2

πr1^2=πr2^2

r1^2=r2^2

r1=r2