9. (i) Find the standard equation of an ellipse centered at (1, –2) with the horizontal major axis of length 10, and the vertical minor axis of length 8. (ii) Find the standard equation of a hyperbola with two foci at (2, 1) and (2, 7), and the length of its conjugate axis is 4. (iii) Find the standard equation of a parabola with the vertex (2, -3) and the directrix y = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 13T
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9. (i) Find the standard equation of an ellipse centered at (1, –2) with
the horizontal major axis of length 10, and the vertical minor axis
of length 8.
(ii) Find the standard equation of a
and (2, 7), and the length of its conjugate axis is 4.
rbola with tw
foci at
(iii) Find the standard equation of a parabola with the vertex (2, -3)
and the directrix y = 1.
Transcribed Image Text:9. (i) Find the standard equation of an ellipse centered at (1, –2) with the horizontal major axis of length 10, and the vertical minor axis of length 8. (ii) Find the standard equation of a and (2, 7), and the length of its conjugate axis is 4. rbola with tw foci at (iii) Find the standard equation of a parabola with the vertex (2, -3) and the directrix y = 1.
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