mine the equation of the tangent to the circle (x+4)² +(y+2)² = 50 at the poi (1; 3) (2) (-9; 3)
mine the equation of the tangent to the circle (x+4)² +(y+2)² = 50 at the poi (1; 3) (2) (-9; 3)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 25E
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Transcribed Image Text:V Determine the equation of the tangent to the circle (x+4) +(y+2)² = 50 at the point
(1)
(1; 3)
(2)
(-9; 3)
Determine the equation of the tangent to the circle x² +y² +2x-6y-4 = 0, at (-6; 2).
O Determine the equation of the tangent to the circle (x-7) +y = 13, at the point
(p;-2) where p>7
(1)
(2)
(5; q) where q>0
In the sketch alongside, the equation of
the circle is x-6x+y +ay D0.
H
F
M is the centre of the circle passing
through P, R and Q. R is a point on
the y-axis and P has coordinates (-1;1).
PQ is a diameter of the circle. AB, CD,
ERF and HQG are all tangents to the circle.
AB is parallel to the y-axis and CD is parallel
to the x-axis.
M.
E
G.
P(-1; 1)
(1)
(2)
Show that a =-8.
Determine the coordinates of M.
(3)
Determine the equation of
(i)
(4)
AB
(ii)
CD
Determine the equation of
(i)
ERF in the form ax+by+c=0.
(ii)
HỌG in the form y= mx+c.
etch alongside, the point
f the circle. AT and BT
circle at A and B res
quation of AT is 3
Determine the
P(-2; 3)
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