Hyperbola
Chords and Angles
Grade 11
Question:
<p>All chords of a curve \(3x^2 - y^2 - 2x + 4y = 0\) which subtends a right angle at the origin passes through a fixed point, which is:</p>
<p>(a) \((1, 2)\)</p>
<p>(b) \((1, -2)\)</p>
<p>(c) \((2, 1)\)</p>
<p>(d) \((-2, 1)\)</p>
Step-by-Step Solution
Key Concept: If a chord of a conic subtends a right angle at the origin, the chord lies on the director circle. Find where all such chords intersect.
<p>Not provided in source text</p>
Correct Answer: a