1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres is 4 cm. Fin

1. Two circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centres is 4 cm. Find the length of the common chord.
2. If two equal chords of a circle intersect within the circle, prove that the segments of
one chord are equal to corresponding segments of the other chord,
3 If two equal chords of a circle intersect within the circle, prove that the line
joining the point of intersection to the centre makes equal angles with the chords.
4 Ifa line intersects two concentric circles (circles
with the same centre) with centre O at A, B, C and
D, prove that AB =CD (see Fig. 10.25).
5. Three girls Reshma, Salma and Mandip are
С
playing a game by standing on a circle of radius
5m drawn in a park. Reshma throws a ball to
Salma, Salma to Mandip, Mandip to Reshma. If
B
A
the distance between Reshma and Salma and
between Salma and Mandip is om each, what is
the distance between Reshma and Mandip?
Fig. 10.25
6. A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and
David are sitting at equal distance on its boundary each having a toy telephone in
his hands to talk each other. Find the length of the string of each phone.
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