3. Write an equation for the line tangent to the circle whose equation is (x+3)+(y-5)=169 if the point of tangency is (2,-7). Dent -20-16-12 9 IT 20- 16- 12 B A L -8- -12+ -16- -20 8 CO 12 16 20 CX437 X

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
3. Write an equation for the line tangent to the circle whose equation is
(x+3)²+(y-5)² = 169 if the point of tangency is (2,-7).
andent
ec
-20-16-12
Statistics
6
-10 -8
9
IT
-2
-8
d
-12-
-16-
-20-
20-
-4
16-
4. The circle whose equation is (x+3)² + (y+4)² =17 and the line whose equation is
y = 4x+25 are tangent. Determine the point of tangency.
6-
--2-
12-
8
.T.
2
= x+
2
5. Is the line whose equation is y=-x+3 tangent to the circle whose equation is
(x+5)²+(y-5)² =16? Justify your answer algebraically and graphically.
-10-
2-
0
-10-
4
48
8-
y
y
A
8 12
2
16 20
6 8
Cx+3)² +(3-5)=169
10
k
X
Student Resource
2021 College Board
D
Transcribed Image Text:3. Write an equation for the line tangent to the circle whose equation is (x+3)²+(y-5)² = 169 if the point of tangency is (2,-7). andent ec -20-16-12 Statistics 6 -10 -8 9 IT -2 -8 d -12- -16- -20- 20- -4 16- 4. The circle whose equation is (x+3)² + (y+4)² =17 and the line whose equation is y = 4x+25 are tangent. Determine the point of tangency. 6- --2- 12- 8 .T. 2 = x+ 2 5. Is the line whose equation is y=-x+3 tangent to the circle whose equation is (x+5)²+(y-5)² =16? Justify your answer algebraically and graphically. -10- 2- 0 -10- 4 48 8- y y A 8 12 2 16 20 6 8 Cx+3)² +(3-5)=169 10 k X Student Resource 2021 College Board D
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