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WBJEE · Maths · Hyperbola

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

  1. A a circle
  2. B a parabola
  3. C an ellipse
  4. D a hyperbola
Verified Solution

Answer & Solution

Correct Answer

(D) a hyperbola

Step-by-step Solution

Detailed explanation

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., \(|P S-P S|=2 a\)