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If the circle `x^2 + y^2 + ( 3 + sin beta) x + 2 cos alpha y = 0` and `x^2 + y^2 + 2 cos alpha x + 2 c y = 0` touch each other, then the maximum value of c is

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MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )
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