Find the vertex of the mirror.
Answer to Problem 52E
Explanation of Solution
Given information:
A hyperbolic mirror (used in some telescopes) has the property that a light ray directed at a focus will be reflected to the other focus. The focus of a hyperbolic mirror (see figure) has coordinates
Calculation:
Consider the given figure the foci of hyperbolic surfaces are
Now find the distance between
Distance between
Distance between
Transverse axis of hyperbola lies on
Assume
Hence, the vertex of the mirror has coordinate ,
Chapter 10 Solutions
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