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

The correct option is B

A circle

$(x+1{)}^2+y^2=3^2|x^2+(y-2{)}^2|$

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