Circles
Tangent to Circles
Grade 11
Question:
<p>A common tangent of the two circles is:</p>
<p>(a) \(x = 4\)</p>
<p>(b) \(y = 2\)</p>
<p>(c) \(x + 3y = -1\)</p>
<p>(d) \(x + 2\sqrt{2}y = 6\)</p>
Step-by-Step Solution
Key Concept: Find the common tangent by using the condition that the distance from each circle's center to the line equals its radius.
<p>The answer is (d) \(x + 2\sqrt{2}y = 6\).</p>
Correct Answer: D