Question

find the equation to the locus of a moving point which moves in such a way that the difference of its distance from the points (5,0) and (-5,0) is always 5 units

Answer 1

Step-by-step explanation:

Let O be (0,−6) and P be (0,6) .Consider OP is the distance between O and P

(x−0)

2

+(y+6)

2

=

(x−0)

2

+(y−6)

2

=3

⇒x

2

+y

2

+12y+36=x

2

+y

2

−12y+36=3

⇒24y=3

∴y=

8

1