Coordinate Geometry Question 91

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

Options:

A) A line

B) A circle

C) A parabola

D) An ellipse

Show Answer

Answer:

Correct Answer: B

Solution:

$ {{(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.