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GAOKAO · Conic Sections · Advanced

Conic Sections: How many lines are tangent to both concentric circles math and math?

Ellipse, hyperbola, parabola standard forms.

Try the problem

How many lines are tangent to both concentric circles x2+y2=1x^2+y^2=1 and x2+y2=4x^2+y^2=4?

Hint and answer

Concept to use

Intersection of conics.

Hint

Concentric circles have no common tangent line.

Answer

0

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