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Let O be the origin and OP and OQ be the tangents to the circle x 2 + y 2 − 6x + 4y + 8 = 0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ α 2 1 , , then a value of α is

1. 2 3
2. – 2 1
3. 2 5
4. 1

Correct answer: 2 5

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