For the two fixed points and

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

Problem

For the two fixed points F1(0,6)F_{1}(0,6) and F2(0,−6)F_{2}(0,-6), every point P(x,y)P(x,y) satisfies PF1+PF2=18PF_{1}+PF_{2}=18. Prove that the equation of the locus is x245+y281=1.\frac{x^{2}}{45}+\frac{y^{2}}{81}=1.

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