Tangent Lines from Different Positions
Explore how many tangent lines can be drawn based on point position
Live Status
Point Position
Drag point P
Distance to Center
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Number of Tangents
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Current Case
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Updates as you drag P
Case 1: Inside Circle
- • Point P is inside the circle
- • No tangent lines possible
- • All lines through P intersect circle twice
Case 2: On Circle
- • Point P is on the circle
- • Exactly one tangent line
- • Tangent touches circle at P only
Case 3: Outside Circle
- • Point P is outside the circle
- • Exactly two tangent lines
- • Two points of contact: T₁ and T₂