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Question: Answered & Verified by Expert
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
MathematicsHyperbolaJEE Main
Options:
  • A a circle
  • B a parabola
  • C an ellipse
  • D a hyperbola
Solution:
1743 Upvotes Verified Answer
The correct answer is: a hyperbola
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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