Homework Help: maths

Posted by jenny on Wednesday, October 10, 2012 at 12:51pm.

Let ABC be a triangle in the plane. Find circles C0;C1; : : : ;C6 such that Cj
has exactly j points in common with the boundary of ABC (this \boundary"
consists of the line segments AB, BC, CA). Is it possible to find a circle C7
with 7 points in common with the boundary of ABC?

maths - Steve, Wednesday, October 10, 2012 at 2:12pm
Of course not. Each line can intersect any circle in at most two points. The three lines can thus intersect a circle in at most 6 points.

Answer this Question

Related Questions

maths - Let ABC be a triangle in the plane. Find circles C0;C1; : : : ;C6 such ...
Calculus - Great! I understand now that C0=f(a) c1=f'(a) c2=f"(a)/2 Now...
Linear Algebra - In 3-space, a plane abc is spanned by three points a, b, c. The...
MATHS - two circles c1 and c2 meet at the points A and B. CD is a common tangent...
Maths - triangle ABC is right angled at A. AD is perpendicularto BC. If AB= 5cm,...
9th grade - given that a(-1,8) ,b(2,4) and if the line y=4 is the axis of ...
Math - A(-11,8)B(2,-6) and C(-19,-8) are the vertices of Triangle ABC. N(X,Y) is...
geometry - Triangle ABC is a right triangle such that m angle B= 90 degrees. If ...
geometry - I realy need help please!!!! 1-Describe the translation in words: (x...
Maths - Vectors - The position vectors a,b,c of the points A,B,C relative to the...

For Further Reading

First Name:
School Subject:
Answer: