Question Answers

7. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. 7. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral prove that it is a rectangle. October 15, 2020 Category: Chapter 10 - [...]

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. ∠ BAC is 30° 6. ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70° [...]

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 angle BAC. 5. In Fig. 10.39 A) B C and D are four points on a circle. AC and BD [...]

4. In Fig. 10.38, angle ABC = 69°, angle ACB = 31°, find angle BDC. 4. In Fig. 10.38 angle ABC = 69° angle ACB = 31° find angle BDC. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,

3. In Fig. 10.37, angle PQR = 100°, where P, Q and R are points on a circle with centre O. Find angle OPR. 3. In Fig. 10.37 angle PQR = 100° Q and R are points on a circle with centre O. Find angle OPR. where P October 15, 2020 Category: Chapter 10 - [...]

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. 2. A chord of a circle is equal to the radius of the circle. Find the angle subtended [...]

1. In Fig. 10.36, A,B and C are three points on a circle with centre O such that angle BOC = 30° and angle AOB = 60°. If D is a point on the circle other than the arc ABC, find angle ADC. 1. In Fig. 10.36 A) B and C are three points on [...]

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 the length of the string of each phone. 6. A circular park of radius 20m is [...]

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 Reshma and Salma and between Salma and Mandip is 6m each, what is the distance between [...]

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). 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 [...]