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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
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
Read MoreQuestion 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…
Read MoreQuestion 7: ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is the mid-point of AC (ii) MD ⊥ AC…
Read MoreQuestion 6: Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other. Question 5 Question 7
Read MoreQuestion 5: In a parallelogram ABCD, E and F are the mid-points of sides AB and CD respectively (see Fig. 8.31). Show that the line segments AF and EC trisect the diagonal BD. Question 4 Question 6
Read MoreQuestion 4: ABCD is a trapezium in which AB || DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F (see Fig. 8.30). Show that…
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