Digital SAT Math Practice Question #360
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Recall the standard circle equation: \( (x - h)^2 + (y - k)^2 = r^2 \). Complete the square if the equation is expanded.
Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.
This is a gorgeous 800-level geometry question that heavily rewards understanding the relationship between circles, radii, and tangent lines. If you try to use implicit differentiation or complex systems of equations, you'll lose 5 minutes....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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