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.
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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