CircleHard

Question

The two circles x² + y² = ax and x² + y² = c² (c > 0) touch each other if

Options

A.|a| = c

B.a = 2c

C.|a| = 2c

D.2 |a| = c

Solution

; c₂ = (0, 0)

; r₂ = c
c₁c₂ = r₁ - r₂ ⇒

⇒ c = a

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