Parabola
General
Grade 11
Question:
Through the focus of the parabola <span class="math-inline">\(y^2=2px(p>0)\)</span> a line is drawn which intersects the curve at A<span class="math-inline">\((x_1,y_1)\)</span> and B<span class="math-inline">\((x_2,y_2)\)</span>. The ratio <span class="math-inline">\(\frac{y_1y_2}{x_1x_2}\)</span> equals-
2
-1
-4
some function of p
Step-by-Step Solution
Key Concept: General
C = (-1, 2), \text{length of major axis} = 2b = \sqrt{3}, \text{length of minor axis} = 2a = 1; e = \frac{\sqrt{2}}{3}
Correct Answer: C