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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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