Interview Question: Triangle on a Curve

Sample Question #252 (mathematics)
 
1) What does the curve x2 + y2 = 1 look like?
 
2) What is an equilateral triangle on this curve (i.e., the vertices of the triangle lie on the curve)?
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4 Responses to Interview Question: Triangle on a Curve

  1. Xiaoxiao says:

    Cool~~~ Quant is Quant

  2. Richard says:

    1) I haven’t touched math for a long time, but I guess this explains why:the distance between each point on this curve to (0,0) is (x-0)^2+(y-0)^2, and therefore it is all 1.  So the curve is a circle centered at (0,0) and with radius 1.

  3. Min says:

    every point on this unit circle can be written as (cos(a), sin(a)). So for any equilateral triangle inscribed in this circle must have vertices (cos(a),sin(a)), (cos(a+2pi/3), sin(a+2pi/3)), (cos(a+4pi/3), sin(a+4pi/3)), where a can be any real number.

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