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2007 AMC 10B Problem 10

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2007 AMC 10B Problem 10AMC 10 Step by Step

Name: Date: September 13, 2026

Triangles: Area & Pythagorean · difficulty 2 of 5 · about 2 min · position P1-10

Two points $B$ and $C$ are in a plane. Let $S$ be the set of all points $A$ in the plane for which $\triangle ABC$ has area $1.$ Which of the following describes $S?$

A)
$\text{two parallel lines}$
B)
$\text{a parabola}$
C)
$\text{a circle}$
D)
$\text{a line segment}$
E)
$\text{two points}$

2007 AMC 10B Problem 10

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