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Question 8: If the non-parallel sides of a trapezium are equal, prove that it is cyclic. Question 7 Question 9 Prerequisite Primarily, this entire chapter is based on the cyclic quadrilateral and its properties. To prove that the given trapezium…
Read MoreQuestion 7: If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. Question 6 Question 8 Prerequisite This question has been solved by two different methods –…
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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…
Read MoreExample 6: Prove that the quadrilateral formed (if possible) by the internal angle bisectors of any quadrilateral is cyclic. Example 5 Class 9 | Home Prerequisite It is quite an interesting question to solve. The proof explained in this video…
Read MoreExample 5: Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig.10.34). Prove that B lies on the line segment DC. Example 4 Example 6 Prerequisite If we prove that…
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