If $z=x+i y$ and if the point $\mathrm{P}$ in the Argand plane represents $z$, then the locus of…

If $z=x+i y$ and if the point $\mathrm{P}$ in the Argand plane represents $z$, then the locus of $\mathrm{P}$ satisfying the equation $|z-3 i|+|z+3 i|=10$ is
  1. Circle with centre $(-3,3)$
  2. Hyperbola with eccentricity $\frac{5}{3}$
  3. Ellipse with eccentricity $\frac{3}{5}$
  4. Ellipse with eccentricity $\frac{4}{5}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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