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A circle with centre \((2,3)\) and radius 4 intersects the line \(x+y=3\) at the points \(P\) and \(Q\). If the tangents…

Q1

A circle with centre \((2,3)\) and radius 4 intersects the line \(x+y=3\) at the points \(P\) and \(Q\). If the tangents at \(P\) and \(Q\) intersect at the point \(S(\alpha, \beta)\), then \(4 \alpha-7 \beta\) is equal to__________

a

11

b

12

c

13

d

14

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