4.2 Calculate the length of the tangent AB drawn from the point A(6; 4) to the circle with equation (x-3)2 + (y + 1)² = 10 QUESTION 5 (FEB/MARCH 2011) (5) [14] The circle, with centre A and equation (x-3)2 + (y + 2)² = 25 is given in the following diagram. B is a y-intercept of the circle. Coordinates of C(6; 2) if C is the reflection of B in the line x-3 5.1 Determine the coordinates of B. 5.2 The circle is enlarged through the origin by a factor of 2 Write down the equation of the new circle, centre A' in the form (4) (x-a)²+(y-b)²=2 (2) 5.3 In addition to the circle with centre A and equation (x-3)² + (y + 2)² = 25, you are given the circle (x - 12)² + (y-10)² = 100 with centre B. 5.3.1 Calculate the distance between the centres A and B. (2) 5.3.2 In how many points do these two circles intersect? Justify your answer. (2) [10] BY MR M. SHABALALA @NOMBUSO Page 40
4.2 Calculate the length of the tangent AB drawn from the point A(6; 4) to the circle with equation (x-3)2 + (y + 1)² = 10 QUESTION 5 (FEB/MARCH 2011) (5) [14] The circle, with centre A and equation (x-3)2 + (y + 2)² = 25 is given in the following diagram. B is a y-intercept of the circle. Coordinates of C(6; 2) if C is the reflection of B in the line x-3 5.1 Determine the coordinates of B. 5.2 The circle is enlarged through the origin by a factor of 2 Write down the equation of the new circle, centre A' in the form (4) (x-a)²+(y-b)²=2 (2) 5.3 In addition to the circle with centre A and equation (x-3)² + (y + 2)² = 25, you are given the circle (x - 12)² + (y-10)² = 100 with centre B. 5.3.1 Calculate the distance between the centres A and B. (2) 5.3.2 In how many points do these two circles intersect? Justify your answer. (2) [10] BY MR M. SHABALALA @NOMBUSO Page 40
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
Related questions
Question
![4.2 Calculate the length of the tangent AB drawn from the point A(6; 4) to the circle
with equation (x-3)2 + (y + 1)² = 10
QUESTION 5 (FEB/MARCH 2011)
(5)
[14]
The circle, with centre A and equation (x-3)2 + (y + 2)² = 25 is given in the following
diagram. B is a y-intercept of the circle. Coordinates of C(6; 2) if C is the reflection of B in the
line x-3
5.1
Determine the coordinates of B.
5.2
The circle is enlarged through the origin by a factor of
2
Write down the equation of the new circle, centre A' in the form
(4)
(x-a)²+(y-b)²=2
(2)
5.3
In addition to the circle with centre A and equation (x-3)² + (y + 2)² = 25,
you are given the circle (x - 12)² + (y-10)² = 100 with centre B.
5.3.1
Calculate the distance between the centres A and B.
(2)
5.3.2 In how many points do these two circles intersect? Justify your answer.
(2)
[10]
BY MR M. SHABALALA
@NOMBUSO
Page 40](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74046d04-fc42-47dd-b1b8-8a598ef98afb%2F6f96e85d-9d5b-42b1-8d2e-5e0e7ae2a8ed%2Fs6sifub_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.2 Calculate the length of the tangent AB drawn from the point A(6; 4) to the circle
with equation (x-3)2 + (y + 1)² = 10
QUESTION 5 (FEB/MARCH 2011)
(5)
[14]
The circle, with centre A and equation (x-3)2 + (y + 2)² = 25 is given in the following
diagram. B is a y-intercept of the circle. Coordinates of C(6; 2) if C is the reflection of B in the
line x-3
5.1
Determine the coordinates of B.
5.2
The circle is enlarged through the origin by a factor of
2
Write down the equation of the new circle, centre A' in the form
(4)
(x-a)²+(y-b)²=2
(2)
5.3
In addition to the circle with centre A and equation (x-3)² + (y + 2)² = 25,
you are given the circle (x - 12)² + (y-10)² = 100 with centre B.
5.3.1
Calculate the distance between the centres A and B.
(2)
5.3.2 In how many points do these two circles intersect? Justify your answer.
(2)
[10]
BY MR M. SHABALALA
@NOMBUSO
Page 40
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