4. With reference to the parabola P: 2² +6x-6+5= 0, find the values of "k", for the appropriate 1 the lines 1 of the family -2x+y=k meet the required conditions: a) They cut the parabola at two different points b) They are tangents to the parabola
4. With reference to the parabola P: 2² +6x-6+5= 0, find the values of "k", for the appropriate 1 the lines 1 of the family -2x+y=k meet the required conditions: a) They cut the parabola at two different points b) They are tangents to the parabola
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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4. With reference to the parabola P: z²+6x-6+5= 0, find the values of "k", for the appropriate 1 the lines
of the family -2x + y = k meet the required conditions:
a) They cut the parabola at two different points
b) They are tangents to the parabola
Expert Solution

Step 1
the given equation of the parabola is
the equation of the straight line is
so,
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