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20 10 Chongqing college entrance examination math problem 8, how to answer it?
Analysis: circle d: (x-√ 3) 2+(y- 1) 2 = 3.

D(√3, 1)

Let AD tilt angle be α, BD tilt angle be β and AB tilt angle be π/6.

The angle between AB and AD is ∠ 1=α-π/6.

The included angle between AB and BD ∠2=π/6+π-β.

We can know ∠ 1=∠2 from the nature of the circle.

∴α-π/6=π/6+π-β==>; α+β=4π/3

Option c