Question

The equation of the locus of a point whose distance from (a, 0) is equal to its distance from y-axis, is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Let the point be (h, k),

So, $(h-a{)}^2+(k-0{)}^2=h^2$ $\Rightarrow$ $h^2+a^2-2ah+k^2=h^2$

Hence locus is $y^2-2ax+a^2=0$.