Ellipse
Locus Problems
Grade 11
Question:
<p>The equation of the locus of the point whose distances from the point P and the line AB are equal, is:</p>
<p>(a) \(9x^2 + y^2 - 6xy - 54x - 62y + 241 = 0\)</p>
<p>(b) \(x^2 + 9y^2 + 6xy - 54x + 62y - 241 = 0\)</p>
<p>(c) \(9x^2 + 9y^2 - 6xy - 54x - 62y - 241 = 0\)</p>
<p>(d) \(x^2 + y^2 - 2xy + 27x + 31y - 120 = 0\)</p>
Step-by-Step Solution
Key Concept: A locus of points equidistant from a point and a line forms a parabola; use distance formula.
<p>Answer: (a)</p>
Correct Answer: A