An ellipse has foci at and satisfies

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

An ellipse has foci at (±5,0)(\pm5,0) and satisfies PA+PB=14PA+PB=14. Which of the following is its standard equation? (a) x225+y224=1\displaystyle \frac{x^{2}}{25}+\frac{y^{2}}{24}=1 (b) x249+y224=1\displaystyle \frac{x^{2}}{49}+\frac{y^{2}}{24}=1 (c) x249−y224=1\displaystyle \frac{x^{2}}{49}-\frac{y^{2}}{24}=1 (d) x224+y249=1\displaystyle \frac{x^{2}}{24}+\frac{y^{2}}{49}=1

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