A parabola P has equation y = x² – x + 1. (a) Determine the points of intersection of P and the line with equation y = -x + 3. (b) Find the value of k such that the line L with equation y = x +k is tangent to P. (c) In this case determine the point of contact of L with P.
A parabola P has equation y = x² – x + 1. (a) Determine the points of intersection of P and the line with equation y = -x + 3. (b) Find the value of k such that the line L with equation y = x +k is tangent to P. (c) In this case determine the point of contact of L with P.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![2.
A parabola P has equation y = x² – x + 1.
-
(a) Determine the points of intersection of P and the line with equation y = -x + 3.
(b) Find the value of k such that the line L with equation y = x + k is tangent to P.
(c) In this case determine the point of contact of L with P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78f0ee4d-c883-4e97-b05f-6fd93d8f479a%2Fd9280ac4-91a0-4999-a2ee-c27a18288745%2F602m77f_processed.png&w=3840&q=75)
Transcribed Image Text:2.
A parabola P has equation y = x² – x + 1.
-
(a) Determine the points of intersection of P and the line with equation y = -x + 3.
(b) Find the value of k such that the line L with equation y = x + k is tangent to P.
(c) In this case determine the point of contact of L with P.
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