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5., , EXERCISE 10.4, , ‘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., , 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., , 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., , 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)., , Three girls Reshma, Salma and Mandip are i, playing a game by standing on a circle of radius, , ‘Sm drawn in a park, Reshma throws a ball to, , Salma, Salma to Mandip, Mandip to Reshma. If, , the distance between Reshma and Salma and <A, , between Salma and Mandip is 6m each, what is, , the distance between Reshma and Mandip? Fig, 10.23, , , , 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.