Circles
Tangent to circle and parabola
Grade 11
Question:
<p>Equation of line that touches the curves |y| = x² and x² + (y - 2)² = 4 where x ≠ 0 is:</p>
<p>(a) y = 4√5 x + 20</p>
<p>(b) y = 4√3 x - 12</p>
<p>(c) y = -4√5 x + 20</p>
<p>(d) y = -4√5 x - 20</p>
Step-by-Step Solution
Key Concept: Find common tangents to a parabola and a circle using tangency conditions.
<p>The line must be tangent to both |y| = x² (which represents two parabolas y = x² and y = -x²) and the circle x² + (y - 2)² = 4.</p>
Correct Answer: A, B, C