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MediumJEE PYQs
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Consider the circle C : x2 + y2 – 6x – 8y – 11 = 0. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of the perpendicular drawn from the origin on the chord AB is the circle x2 + y2 – αx – βy – γ = 0, then α + β + 2γ is equal to_____.

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