Geometry Flashcards

1
Q

What is the general equation of midpoint of a line on the Cartesian plane?

A
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2
Q

What is the general equation of a circle?

Note: trick question (Cartesian and Parametric forms)

A

Cartesian

r2 = (x - a)2 + (y - b)2

Where the centre has co-ordinates (a, b)

Parametric

x = a + r • cos t

y = b + r • sin t

where t is a parametric variable in the range 0 to , interpreted geometrically as the angle that the ray from (a, b) to (x, y) makes with the positive x-axis.

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