CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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.) Prove that ACP=QCD.

Open in App
Solution

For chord AP
PBA=PCA (angle in same segment from common chord)
For chord DQ
DBQ=DCQ (angle in same segment from common chord)
Also,
PBA=DBQ (opposite angles)
Hence, PCA=DCQ=PBA=DBQ
or ACP=QCD

906050_878822_ans_26264cee8b9048afac5a2c34358711ac.png

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Circles and Their Chords - Theorem 1
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon