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Question 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. Ex: 10.3 | Question 3 Question 2
Read MoreTheorem 10.7: Chords equidistant from the centre of a circle are equal in length. Theorem 10.6 Theorem 10.8
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Theorem 10.6: Equal chords of a circle (or of congruent circles) are equidistant from the centre (or centres). Theorem 10.5 Theorem 10.7
Read MoreTheorem 10.5: There is one and only one circle passing through three given non-collinear points. Theorem 10.4 Theorem 10.6
Read MoreTheorem 10.4: The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord. Theorem 10.3 Theorem 10.5
Read MoreQuestion 3: If two circles intersect at two points, prove that their centres lie on the perpendicular bisector of the common chord. Question 2 Ex: 10.4 | Question 1
Read MoreQuestion 2: Suppose you are given a circle. Give a construction to find its centre. Question 1 Question 3
Read MoreQuestion 1: Draw different pairs of circles. How many points does each pair have in common? What is the maximum number of common points? Ex: 10.2 | Question 2 Question 2
Read MoreQuestion 2: Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal. Question 1 Ex: 10.3 | Question 1
Read MoreQuestion 1: Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres. Ex: 10.1 | Question 1 & 2 Question 2
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