Page 1 - Home Assignment 4 Equal Chords-equidistant- circle Ch.- 10 Circle
P. 1
SAI International School
Class-IX
Mathematics
Chapter-10: Circle Home Assignment-4
Sub topic : Equal chords and their distances from center
Find the solutions
(1) If a diameter of a circle bisects each of the two chords of a circle then prove that the
chords are parallel.
(2)Two equal circles intersect in P and Q. A straight line through P meets the circles in
A and B. Prove that QA = QB
(3) In the adjoining figure, two circles with centres at A and B, and of radii 5cm and 3cm
touch each other internally. If the perpendicular bisector of AB meets the bigger circle in
P and Q, find the length of PQ.
(4)Two circles of radii 5 cm and 3 cm intersect at two points and the distance between
their centers is 4 cm. Find the length of the common chord.
