Posted by **Daksh** on Friday, April 25, 2014 at 1:19am.

Find the equation of the locus of the point representing z if |z-5-12i| + |z-5+21i|=13

- Locus- Calculus -
**Daksh**, Friday, April 25, 2014 at 1:49am
correction:

|z-5-12i| + |z-5+12i|=13

- Locus- Calculus -
**Steve**, Friday, April 25, 2014 at 5:53am
|z-5-12i| is the distance of z from 5+12i

|z-5+12i| is the distance of z from 5-12i

As we know, the locus of a point whose distances from two other points add to a constant, is an ellipse.

The equation of the ellipse should be no problem, since you know the foci and the sum of the distances.

## Answer This Question

## Related Questions

- PURE MATHEMATICS - 1. The complex number 'a' is such that a^2=5-12i use an ...
- Analytic Geometry - Find the equation of a locus of a point which moves so that ...
- locus - if a moving point p is always equidistant from the point A(2,4) and the ...
- Maths - Find the equation of the locus of the point P(x,y) which moves so that ...
- Biology / DNA / science - Hi, Can anyone confirm my answer here.. I need to ...
- math - I need help with parametric equations, locus problems, tell me how to ...
- Geo (locus) - I don't fully get this stuff but some of these I guessed on and ...
- math - what is the locus of the midpoints of the line segments joining a given ...
- Maths - Given that arg((z-1)/(z-2i)) = pi/4 describe the locus of P and sketch ...
- Maths - Given that arg((z-1)/(z-2i)) = pi/4 describe the locus of P and sketch ...

More Related Questions