Circles
Common Tangents to Two 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 ensuring it is tangent to both circles simultaneously using the distance formula from center to line equals radius.
<p>Answer: (d) \(x + 2\sqrt{2}y = 6\)</p>
Correct Answer: d