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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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