A point moves in such a way that the difference of its distance...

A point moves in such a way that the difference of its distance from two points (8,0) and (-8,0) always remains

4 .

Then, the locus of the point is

Options

Aa circle
Ba parabola
Can ellipse
Da hyperbola

Correct answer

D. a hyperbola

Step-by-step solution

We know by the definition of hyperbola, "A hyperbola is the locus of a point which moves in such a way that the difference between two fixed points remains constant, ie.,

|P S-P S|=2 a

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