Question

A point moves so that its distance from the point

(–1,0) is always three times its distance from the point (0,2). The locus of the point is.

• A. A line
• B. A circle
• C. A parabola
• D. An ellipse

Answer 1

Answer: (B)

A circle

Answer 2

$( x + 1 ) ^ { 2 } + y ^ { 2 } = 3 ^ { 2 } \left[ x ^ { 2 } + ( y - 2 ) ^ { 2 } \right]$

$\Rightarrow 8 \left( x ^ { 2 } + y ^ { 2 } \right) - 36 y - 2 x + 35 = 0$, which is a circle.