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Question 6: ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠ BAC is 30°, find ∠ BCD. Further, if AB = BC, find ∠ ECD. Question 5 Question 7 Prerequisite Most…
Read MoreQuestion 5: In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130°and ∠ ECD = 20°. Find ∠ BAC. Question 4 Question…
Read MoreQuestion 4: In Fig. 10.38, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC. Question 3 Question 5 Prerequisite Simple! Concepts used: Angle sum property of triangle Angles in the same segment of a circle are equal Theorem…
Read MoreQuestion 3: In Fig. 10.37, ∠ PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠ OPR. Question 2 Question 4 Prerequisite Questions are always easy to solve. All you need to…
Read MoreQuestion 2: A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc. Question 1…
Read MoreQuestion 1: In Fig. 10.36, A,B and C are three points on a circle with centre O such that ∠ BOC = 30° and ∠ AOB = 60°. If D is a point on the circle other than the arc…
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Question 6: A circular park of radius 20m is situated in a colony. Three boys Ankur, Syed and David are sitting at equal distance on its boundary each having a toy telephone in his hands to talk each other. Find…
Read MoreQuestion 5: Three girls Reshma, Salma and Mandip are playing a game by standing on a circle of radius 5m drawn in a park. Reshma throws a ball to Salma, Salma to Mandip, Mandip to Reshma. If the distance between…
Read MoreQuestion 4: If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD (see Fig. 10.25). Question 3 Question 5
Read MoreQuestion 3: If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chords. Question 2 Question 4
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