Derive the Equation of a Circle
Geometry · Flashcards · Recall
GEOMETRY · FLASHCARDS
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QUESTION
What is the completed square form of
y
2
+
8
y
y^2+8y
y
2
+
8
y
after adding the needed constant?
QUESTION
What condition on
r
2
r^2
r
2
in
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(x-h)^2+(y-k)^2=r^2
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
gives no real circle?
QUESTION
What is the rule for the constant used to complete the square for
u
2
+
b
u
u^2+bu
u
2
+
b
u
?
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ANSWER
Add
(
b
2
)
2
\left(\frac{b}{2}\right)^2
(
2
b
)
2
. Square half the linear coefficient.
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