Circles
Circle geometry and locus
Grade 11
Question:
<p>Let P( 1, 2√2 ) is a point on circle x² + y² = 9. Locate the points on the given circle, which are at 2 units distance from point P.</p>
<p>(a) ( -1, 2√2 )</p>
<p>(b) ( 2√2 , 1)</p>
<p>(c) ( \frac{23}{9}, \frac{10√2}{9} )</p>
<p>(d) ( 3 , 0 )</p>
Step-by-Step Solution
Key Concept: Find intersection of the given circle with another circle centered at P with radius 2.
<p>Points on the circle x² + y² = 9 at distance 2 from P(1, 2√2) satisfy both the circle equation and the distance condition.</p>
Correct Answer: A, C