The number of common tangents to the circles x2 + y2 – 4x – 6y – 12 = 0 and x2 + y2 + 6x + 18y + 26 = 0, is

Engineering

Mathematics

Common Tangent To two Circle

Question

The number of common tangents to the circles

x² + y² – 4x – 6y – 12 = 0 and x² + y² + 6x + 18y + 26 = 0, is

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C₁C₂ = r₁ + r₂

$∴$ circles touches each other externally, hence they have exactly 3 common tangents.