Example 2 - If two intersecting chords of a circle make - Examples

Slide4.JPG

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

Transcript

Example 2 If two intersecting chords of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal. Given: Let AB & CD be two chords intersecting at E. PQ is the diameter passing through E AB & CD makes equal angles with diameter PQ &., AEQ = DEQ To prove: Chords are equal i.e., AB = CD Construction: We draw OL AB & OM CD Proof: In OLE and OME, OLE = OME OEL = OEM OE = OE OLE OME OL = OM Here, OL is the distance of chord AB from centre & OM is the distance of chord CD from centre Since OL = OM, Chord AB & CD are equidistant from the centre So, AB = CD 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.