Find the coordinates of all points whose distance from (0,-3) is \sqrt{5} and whose distance from (3,-4) is \sqrt{5}?
1 Answer
the solution is
Explanation:
Let
Given that
and that
A and B are separated by the distance given by the relation
while,
Thus,
ie
By applying the distance given by the relation
and
Simplifying
Equating the two distances
Expanding
Rearanging
or
The points lie on the straight line
Substituting in
Factorising
When
When
Check:
For
Distance from
For
Distance from
Hence,
the solution is