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
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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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