mathemafia

Question 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

Question 2: Suppose you are given a circle. Give a construction to find its centre. Question 1 Question 3

Question 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

Question 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

Question 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

Question 1: Fill in the blanks: (i)  The centre of a circle lies in _______ of the circle. (exterior/ interior) (ii)  A point, whose distance from the centre of a circle is greater than its radius lies in _______ of…