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Problem 24

The extremities of a diagonal of a rectangle are \((-4,4)\) and \((6,-1)\). A circle circumscribes the rectangle and cuts an intercept \(A B\) on the \(y\)-axis. Find the area of the triangle formed by \(A B\) and the tangents to the circle at \(A\) and \(B\).

Expert verified

The area of the triangle formed by the intercept AB and tangents at points A and B is 2.25.

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Chapter 1

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