b i Find the y-coordinates of the points of intersection of the parabola with equation y = x2 – a and the circle with equation x2 + y2 = 4. Give the conditions on a for: ii at least 2 points of intersection iii the parabola to touch the circle.
b i Find the y-coordinates of the points of intersection of the parabola with equation y = x2 – a and the circle with equation x2 + y2 = 4. Give the conditions on a for: ii at least 2 points of intersection iii the parabola to touch the circle.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 34E
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b i Find the y-coordinates of the points of intersection of the parabola with equation
y = x2 – a and the circle with equation x2 + y2 = 4.
Give the conditions on a for:
ii at least 2 points of intersection
iii the parabola to touch the circle.
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