Answer.. 1.2.5 and 1.32

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 65E
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Answer.. 1.2.5 and 1.32

Analytical geometry
Learning Activity 1
1.1 In the diagram below, AB is the straight line passing thưough centre M(3; 0). The
coordinates of A and B are (2:-8) and (x;y) respectively.
M3: 0)
Determine the following
111 the equation of the circle
1.12 the gradient of AM
1.13 the gradient of a tangent to the circle at point A
1.1.4 the equation of the tangent to the circle at point A
115 coordinates of B
1.1.6 the equation of the tangent to the circle at point B.
1.1.7 what conchasion can you draw about the relationship between the tangents to
the circle at A and B? Give a reason.
12 Find the equation of the tangent to each of the following circles at the point given on
the circles
1.2.1 x²+y² = 13 at (-3:2)
1.22 3y = 15 – 3x² at (2;1)
1.23 (x- 2)° + (y+ 3)² = 4 at (2; –1)
1.24 x+4x + y² – óy = 91 at (0; –7)
1.25 x +3x + y² – 5y = -5 at (-1: 3)
1.3 Find the equation(s) of the tangent(s) to the circle:
1.3.1 with centre (-4:2) and passing through the point (5: -3) on the circle
1.3.2 (x+2)² + y² = 4 at x-intercepts of the circle
1.3.3 (x- 1) + (y+4)* = 17 at the origin
1.3.4 (x+ 3) + (y – 2)² = 25 which is parallel to the y-axis.
1.3.5 x +y = 8 which is parallel to the line y =-x+3
Transcribed Image Text:Analytical geometry Learning Activity 1 1.1 In the diagram below, AB is the straight line passing thưough centre M(3; 0). The coordinates of A and B are (2:-8) and (x;y) respectively. M3: 0) Determine the following 111 the equation of the circle 1.12 the gradient of AM 1.13 the gradient of a tangent to the circle at point A 1.1.4 the equation of the tangent to the circle at point A 115 coordinates of B 1.1.6 the equation of the tangent to the circle at point B. 1.1.7 what conchasion can you draw about the relationship between the tangents to the circle at A and B? Give a reason. 12 Find the equation of the tangent to each of the following circles at the point given on the circles 1.2.1 x²+y² = 13 at (-3:2) 1.22 3y = 15 – 3x² at (2;1) 1.23 (x- 2)° + (y+ 3)² = 4 at (2; –1) 1.24 x+4x + y² – óy = 91 at (0; –7) 1.25 x +3x + y² – 5y = -5 at (-1: 3) 1.3 Find the equation(s) of the tangent(s) to the circle: 1.3.1 with centre (-4:2) and passing through the point (5: -3) on the circle 1.3.2 (x+2)² + y² = 4 at x-intercepts of the circle 1.3.3 (x- 1) + (y+4)* = 17 at the origin 1.3.4 (x+ 3) + (y – 2)² = 25 which is parallel to the y-axis. 1.3.5 x +y = 8 which is parallel to the line y =-x+3
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