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.