🔵 Transverse Common Tangents of Two Circles
Circle 1: (x-2)² + (y-5)² = 1
Circle 2: (x+2)² + (y-3)² = 9
Transverse Common Tangents
🎯 What are Transverse Common Tangents?
Transverse common tangents are lines that:
- Touch both circles at exactly one point each
- Cross between the circles (circles are on opposite sides)
- For two separate circles, there are exactly 2 transverse tangents
Click the buttons above to see the step-by-step construction!
📐 Mathematical Solution:
Circle 1: x² + y² - 4x - 10y + 28 = 0 → (x-2)² + (y-5)² = 1
Circle 2: x² + y² + 4x - 6y + 4 = 0 → (x+2)² + (y-3)² = 9
Transverse Common Tangents:
- Tangent 1: 3x + 4y - 21 = 0
- Tangent 2: x = 1