Show that the locus of a point satisfying (x+3)^ 2 +y^ 2 + (x-3)^ 2 +y^ 2 =10 can be…

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Show that the locus of a point

P(x,y)

satisfying

\sqrt{(x+3)^{2}+y^{2}}+\sqrt{(x-3)^{2}+y^{2}}=10

can be written in the form

\frac{x^{2}}{25}+\frac{y^{2}}{16}=1.