Extra Circle Problems

Extra Circle Problems

<p>Extra Circle Problems:</p><p>1) Find the equation(s) of the circle whose x-intercepts are (-4,0) and (2,0) and has a radius of 5.</p><p>Answer: (x + 1)2 + (y – 4)2 = 25 and (x + 1)2 + (y + 4)2 = 25</p><p>2) Find the equation(s) of the circle whose radius is 4 and is tangent to both the line y = x + 4 as well as the x-axis.</p><p>Answer: (x – 4√2)2 + (y – 4)2 = 16 </p><p>3) Find the equation(s) of the circle whose diameter is 26, and which passes through (3, -5) and (3, 5). Notice these points are NOT the end points of a diameter.</p><p>Answer: (x – 15)2 + y2 = 169 and (x + 9)2 + y2 = 169</p><p>4) Find the equation(s) of the circle tangent to y = (2/3)x + 4 at the point (0, 4) and passes through the point (10, 2).</p><p>Answer: (x – 4)2 + (y + 2)2 = 52</p>

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