C : x^(2) + y^(2) - 2x -2ay - 8 = 0, a is a variable Equation of circle of this family intersect...

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Intersect (2006)
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C : x^(2) + y^(2) - 2x -2ay - 8 = 0, a is a variable Equation of circle of this family intersects on the line x + 2y + 5 = 0 If the chord joining the fixed points substends an angle theta at the centre of the circle C_(1). Then theta equals
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