6. Find points P and Q on the parabola y = 1-x² so that AABC formed by the x-axis and the tan- gent lines at P and Q is an equilateral triangle. (Refer to Figure 1.) P Figure 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 24E
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Find points P and Q on the parabola y = 1−x^2 so that △ABC formed by the x−axis and the tangent lines at P and Q is an equilateral triangle.

6. Find points P and Q on the parabola y = 1-x² so
that AABC formed by the x-axis and the tan-
gent lines at P and Q is an equilateral triangle.
(Refer to Figure 1.)
P
Figure 1
Transcribed Image Text:6. Find points P and Q on the parabola y = 1-x² so that AABC formed by the x-axis and the tan- gent lines at P and Q is an equilateral triangle. (Refer to Figure 1.) P Figure 1
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