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.
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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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