Q98 / 160 · WBJEE 2012 · Mathematics

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

  • A
    a circle
  • B
    a parabola
  • C
    an ellipse
  • Correct answer
    D
    a hyperbola

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., $|P S-P S|=2 a$

Hence, the correct answer is option: 'D'.

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