Find an equation of the circle that has a diameter as the distance between the two vertices of the parabolas found in parts a and b. at the noin

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 50E: The graphs of the parabolas eith equations y=x2 and the line y=18-x2 intersect at two points. Find...
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Please answer parts c,d, and e
Part I
a. Find an equation of the parabola with vertex of coordinates (,2) and
containing the point of coordinates (2).
b. Find another equation of the parabola with vertex of coordinates (, -=)
(131
and containing the point of coordinates ( ).
20
C. Find an equation of the circle that has a diameter as the distance between
the two vertices of the parabolas found in parts a and b.
d. Find an equation of the tangent line to the circle found in part c at the point T
of tangency of abscissa x =
e. Find an equation of a line tangent to the circle found in part c at the point
(x1, Y1) to be Determined Algebraically and parallel to the tangent line
found in part d.
nt to the circle found in part c at the point
Transcribed Image Text:Part I a. Find an equation of the parabola with vertex of coordinates (,2) and containing the point of coordinates (2). b. Find another equation of the parabola with vertex of coordinates (, -=) (131 and containing the point of coordinates ( ). 20 C. Find an equation of the circle that has a diameter as the distance between the two vertices of the parabolas found in parts a and b. d. Find an equation of the tangent line to the circle found in part c at the point T of tangency of abscissa x = e. Find an equation of a line tangent to the circle found in part c at the point (x1, Y1) to be Determined Algebraically and parallel to the tangent line found in part d. nt to the circle found in part c at the point
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