Q1 of 23 Page 270

Draw the following triangles and construct circumcircles for them.
(i) In ∆ ABC, AB = 6cm, BC = 7cm and ∠A = 60°

(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°

(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°

(i)

(ii)

(iii)

In the figure, PQ = RS and ∠ORS = 48°. Find ∠OPQ and ∠ROS.

In the figure PR and QS are two diameters. Is PQ = RS?

Draw two circles passing through A, B where AB = 5.4cm

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

Questions · 23

12. Circles

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Draw the following triangles and construct circumcircles for them.(i) In ∆ ABC, AB = 6cm, BC = 7cm and ∠A = 60°(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°(iii) In ∆ XYZ, XY = 4.8cm, ∠X = 60° and ∠Y = 70°