Derivation Of Equation Of Transverse Common Tangents Of 2 Non Touching And Non Intersecting Circles

Derivation of equation of Transverse Common Tangents of 2 non-touching and non intersecting circles

graph TB A[Derivation of equation of Transverse Common Tangents of 2 non-touching and non intersecting circles] A --> B[Step 1: Define the circles] A --> C[Step 2: Find the distance between the centers] A --> D[Step 3: Derive the equation of the line joining the centers] B --> E[Circle 1] B --> F[Circle 2] C --> G[Use the distance formula] D --> H[Use the slope-intercept form] E --> I[Center and radius of Circle 1] F --> J[Center and radius of Circle 2] G --> K[Calculate the distance] H --> L[Derive the equation]