Locus- Calculus

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

  • Locus- Calculus -

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

  • Locus- Calculus -

    |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.

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