Example 5 - Two circles intersect at two points A and B - Angle subtended by arc at the centre

  1. Chapter 10 Class 9 Circles
  2. Serial order wise
Ask Download

Transcript

Example 5 Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see fig.). Prove that B lies on the line segment DC. Given: Let two circles be C1 & C2. AD is the diameter of circle C1 & AC is the diameter of circle C2 To prove: B lies on CD. Construction: Join AB Proof Now, ABD + ABC = 90 + 90 = 180 Since the sum of angles is 180 , they form a linear pair. Linear pair can only happen on a line. Therefore, DBC is a line. B lies on the line segment DC. Hence proved

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.