The reflective property of an ellipse is the principle behind "whispering galleries." These are rooms with elliptically shaped ceilings such that a person standing at one focus can hear even the slightest whisper spoken by another person standing at the other focus. Suppose that a dome has a semielliptical ceiling, 96 ft long and 23 ft high. Choose a coordinate system so that the center of the semiellipse is (0, 0) with vertices (-48, 0) and (48, 0) and with the top of the ceiling at (0, 23). (0, 23) (-48, 0) (0, 0) (48, 0) Approximately how far from the center along the major axis should each person be standing to hear the "whispering" effect? Round to 1 decimal place.

Q: 60 cm in diameter and 5 cm deep, find the focus

A: diameter of parabolic reflector = 60cm & 5 cm

Q: b)lnscribe an ellipse in a parallelogram of sides 150 x 100 mm with an inclined angle of 120 ".

A: Let's find.

Q: (x +5)2, (y – 1)² = 1 4 25

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Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

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A: Transverse axis of the hyperbola is that axis which passes through the foci

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Q: Find the equation of the ellipse whosefocus is S(-1, 1), the corresponding directrix is          x…

A: Let P(x,y) be any point on the ellipse and PMbe perpendicular to the directrix.…

Q: What equation is used to find the foci of a hyperbola?

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