Straight Lines
Intersection of geometric curves
Grade 11
Question:
<p>The coordinates of P are given by (P lies on the curve <equation>y = \log_{1/2}(x - 0.5) + \log_2\sqrt{4x^2 - 4x + 1}</equation> and on the circle <equation>x^2 + y^2 = 10</equation>)</p>
<p>(a) (1, 2)</p>
<p>(b) (2, 4)</p>
<p>(c) (3, 1)</p>
<p>(d) (3, 5)</p>
Step-by-Step Solution
Key Concept: A point must satisfy both the curve equation and the circle equation simultaneously.
<p>The question requires finding point P on both the given curve and circle. Point P = (3, 1) satisfies <equation>3^2 + 1^2 = 10</equation> and the curve equation.</p>
Correct Answer: c