Chapter 10 – Circles
9. Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ ACP = ∠ QCD.
15
Oct
9. Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 10.40). Prove that ∠ ACP = ∠ QCD. 9. Two circles intersect at two points B and C. Through B D and [...]
8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic.
15
Oct
8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic. 8. If the non-parallel sides of a trapezium are equal prove that it is cyclic. October 15, 2020 Category: Chapter 10 - Circles , Maths , NCERT Class 9 ,
7. If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.
15
Oct
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.
15
Oct
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.
15
Oct
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.
15
Oct
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.
15
Oct
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.
15
Oct
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.
15
Oct
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.
15
Oct
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 [...]