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In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.

In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 46E
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In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.
Transcribed Image Text:In Figure 3, OABC is a circle. It is given that AB produced and OC produced meet at D. D B Figure 3 A (b) Suppose that ZAOD=90°. A rectangular coordinate system, with O as the origin, introduced in Figure 3 so that the coordinates of A and D are (6,0) and (0,12) respectively. If the ratio of the area of ABCD to the area of AOAD is 16:45, find (i) the coordinates of C, (ii) the equation of the circle OABC.
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