Coordinate Geometry Question 103

Question: The equation of the locus of all points equidistant from the point (4,2) and the x-axis, is

[CEE 1993]

Options:

A) $ x^{2}+8x+4y-20=0 $

B) $ x^{2}-8x-4y+20=0 $

C) $ y^{2}-4y-8x+20=0 $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ {{(x-4)}^{2}}+{{(y-2)}^{2}}=y^{2}\Rightarrow x^{2}-8x-4y+20=0 $ .