As shown in the figure, in the plane rectangular coordinate system, the center of ⊙ P is (2, a) (a > 2), the radius is 2, and the length of the chord AB cut by ⊙ P is 23, then the value of a is () A. 22B. 2+2C. 23D. 2+3

PE ⊥ AB is connected to e through P, PC ⊥ x is connected to C through P, AB is connected to D, Pa. ∵ PE ⊥ AB, ab = 23, radius is 2, ∵ AE = 12ab = 3, PA = 2. According to Pythagorean theorem, PE = 22 − (3) 2 = 1, ∵ point a is on the straight line y = x, ∵ AOC = 45 °, ∵ DCO = 90 °, ∵ ODC = 45 ° and ∵ OCD are

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