Parabola
General
Grade 11
Question:
A variable circle is drawn to touch the line <span class="math-inline">3x - 4y = 10</span> and also the circle <span class="math-inline">x^{2} + y^{2} = 1</span> externally then the locus of its centre is -
straight line
circle
pair of real, distinct straight lines
parabola
Step-by-Step Solution
Key Concept: General
e = \frac{\sqrt{3}}{2}; \text{foci} = (1 \pm \sqrt{3}, -1); \text{LR} = 1
Correct Answer: \frac{\sqrt{3}}{2}