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Does the point ( 2,5), (3,5) lie inside,...

Does the point `( 2,5), (3,5)` lie inside, outside or on the circle `x^2+y^2=25`?

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To determine whether the points (2, 5) and (3, 5) lie inside, outside, or on the circle defined by the equation \(x^2 + y^2 = 25\), we can follow these steps: ### Step 1: Identify the Circle's Properties The equation of the circle is given as \(x^2 + y^2 = 25\). This can be rewritten in the standard form of a circle, which is \((x - h)^2 + (y - k)^2 = r^2\), where \((h, k)\) is the center and \(r\) is the radius. From the equation: - Center \((h, k) = (0, 0)\) - Radius \(r = \sqrt{25} = 5\) ...
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