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Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x² + 16y² = 144. X + = √2touches the ellipse a b e of point of contact. X² x y² 6² = 1, then find its eccentric angle

Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x² + 16y² = 144. X + = √2touches the ellipse a b e of point of contact. X² x y² 6² = 1, then find its eccentric angle

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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Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x² + 16y² = 144. X If + = a b e of point of contact. √2touches the ellipse X² x y² 6² = 1, then find its eccentric angle The tangent at a point P on an ellipse intersects the major axis at T and N is the foot of the perpendicular from P to the same axis. Show that the circle drawn on NT as diameter intersects the auxiliary circle orthogonally.
Transcribed Image Text:Find the equations of the tangents drawn from the point (2, 3) to the ellipse 9x² + 16y² = 144. X If + = a b e of point of contact. √2touches the ellipse X² x y² 6² = 1, then find its eccentric angle The tangent at a point P on an ellipse intersects the major axis at T and N is the foot of the perpendicular from P to the same axis. Show that the circle drawn on NT as diameter intersects the auxiliary circle orthogonally.
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