Homework Help is Here – Start Your Trial Now!
Math
Geometry
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
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
See similar textbooks
icon
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
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
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer