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Common Points

Source: 1996 National High School Mathematics League, Exam One, Problem 1

March 3, 2020
conicsellipse

Problem Statement

Connect the commom points of circlex2+(yāˆ’1)2=1x^2+(y-1)^2=1 and ellipse 9x2+(y+1)2=99x^2+(y+1)^2=9 with line segments, the figure is a (A)\text{(A)} line segment (B)\text{(B)} scalene triangle (C)\text{(C)} equilateral triangle (D)\text{(D)} quadrilateral
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