Tangents are drawn from the poin (32) to the ellipse x\Power {2} +4y\power {2}=9. Find the equation to their chord of contact and the middle point of this chord of contact.
Tangents are drawn from the poin (32) to the ellipse x\Power {2} +4y\power {2}=9. Find the equation to their chord of contact and the middle point of this chord of contact.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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![d
b
Tangents are drawn from the point
(3,2) to the ellipse
x\power {2} +4y\power {2}=9₁
Find the equation to their chord
of contact and the middle point
of this chord of contact.
P is the point on the ellipse
\frac {x\power {2}|16
+\frac {y\power {2} | 9=
[16}
amd 2 is the corresponding point
On the auxiliary circle of the
ellipse. If the line joining the
center C to
meets the
normal at P with respect to the
given ellipse at K, then find the
value of CK.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb557baa8-28e5-4843-8c35-43351f8393e5%2F8cdc3ba2-3c48-4745-bd6c-4abab70f2559%2Famw6zz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
b
Tangents are drawn from the point
(3,2) to the ellipse
x\power {2} +4y\power {2}=9₁
Find the equation to their chord
of contact and the middle point
of this chord of contact.
P is the point on the ellipse
\frac {x\power {2}|16
+\frac {y\power {2} | 9=
[16}
amd 2 is the corresponding point
On the auxiliary circle of the
ellipse. If the line joining the
center C to
meets the
normal at P with respect to the
given ellipse at K, then find the
value of CK.
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