A point moves in such a way that the sum of its distance from $x y$ -plane and $y z$ -plane remains equal to its distance from $z x$ -plane. The locus of the point is

Q. The locus of the point which moves in such a way that its distance from the line

y = - 6

is always equal to 1 unit is

Join BYJU'S Learning Program

A point moves in such a way that the difference of its distance from two point (8,0) and (−8,0) always remains 4. Then, the locus of the point is:

The correct option is D A hyperbolaWe 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 point remains constant,i.e., |PS−PS′|=2a.

A point moves in such a way that the difference of its distance from two point $(8, 0)$ and $(- 8, 0)$ always remains $4$ . Then, the locus of the point is:

The correct option is D 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 point remains constant,
i.e., $| P S - P S^{'} | = 2 a$ .