SOLUTION: Plss help me to solve this problem Two ground stations are located by its coordinates as A(0,0) and B(0,5),the unit being 1km. An airplane pilot conducting a reconnaisance survey

Question 1046576: Plss help me to solve this problem
Two ground stations are located by its coordinates as A(0,0) and B(0,5),the unit being 1km. An airplane pilot conducting a reconnaisance survey knows from the radar that at a certain instant he is 3 km. nearer B than A. What is the equation of the curve that defines this data? I hope you will answer this question. Thanks.
Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The locus of points with a constant difference as stated is the definition of a hyperbola.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
So assume the plane is at (,).
The distance from A to the plane is .
The distance from B to the plane is .
You also know that,

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