The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of .
The figure shows a semicircle with diameter AD and centre O. The chords AC and BD meet at P. Q is the foot of the perpendicular from P to AD. (a) Show that A, Q. P, B are concyclic. (b) Let ZBQP = 8. Find, in terms of 0, (1) ZBQC, (ii) ZBOC. (c) Let ZCAD= . Find ZCBQ in terms of .
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 47PS
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