11.1 Parabolas
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SOLVED:The reflective property of parabolas The figure here shows a typical point P(x0, y0) on the parabola y^2=4 p x . The line L is tangent to the parabola at P . The parabola's focus lies at F(p, 0) . The ray L^' extending from P to the right is parallel to the x -axis. We show that light from F to P will be reflected out along L^' by showing that βequals α. Establish this equality by taking the following steps. a. Show that tanβ=2 p / y0 . b. Show that tanϕ=y0 /(x0-p) c. Use the identity tan
SOLVED:The reflective property of parabolas The figure here shows …
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