8. Reflecting Telescopes: The reflective properties of the parabola and the hyperbola are exploited in designing a reflecting telescope. A hyperbolic mirror and a parabolic mirror are placed so that one focus of the hyperbola coincides with the focus F of the parabola, as shown in the Figure 3. Explain why rays of light coming from great distances are finally focused at the eyepiece placed at F', the other focus of the hyperbola. 9. The foci of a hyperbola coincide with the foci of the ellipse 25 y? = 1. Find the equation 9. of the hyperbola if its eccentricity e = 2. 10. Find the general equation of the parabola whose focus is (1,2) and directric is x+2y = 10.
8. Reflecting Telescopes: The reflective properties of the parabola and the hyperbola are exploited in designing a reflecting telescope. A hyperbolic mirror and a parabolic mirror are placed so that one focus of the hyperbola coincides with the focus F of the parabola, as shown in the Figure 3. Explain why rays of light coming from great distances are finally focused at the eyepiece placed at F', the other focus of the hyperbola. 9. The foci of a hyperbola coincide with the foci of the ellipse 25 y? = 1. Find the equation 9. of the hyperbola if its eccentricity e = 2. 10. Find the general equation of the parabola whose focus is (1,2) and directric is x+2y = 10.
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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Transcribed Image Text:8. Reflecting Telescopes: The reflective properties of the parabola and the hyperbola are
exploited in designing a reflecting telescope. A hyperbolic mirror and a parabolic mirror
are placed so that one focus of the hyperbola coincides with the focus F of the parabola,
as shown in the Figure 3. Explain why rays of light coming from great distances are finally
focused at the eyepiece placed at F', the other focus of the hyperbola.
x2 y?
9. The foci of a hyperbola coincide with the foci of the ellipse
25
= 1. Find the equation
9.
of the hyperbola if its eccentricity e = 2.
10. Find the general equation of the parabola whose focus is (1,2) and directric is x+2y = 10.
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