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Question 67

Let the centre of a circle $$C$$ be $$\alpha, \beta$$ and its radius $$r < 8$$. Let $$3x + 4y = 24$$ and $$3x - 4y = 32$$ be two tangents and $$4x + 3y = 1$$ be a normal to $$C$$. Then $$(\alpha - \beta + r)$$ is equal to

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