If the normal at any point P on the ellipse cuts the major and minor axes in 'G' and 'g'…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If the normal at any point P on the ellipse cuts the major and minor axes in 'G' and 'g' respectively and 'C' is the centre of the ellipse, then \(a^{2} C C^{2}+b^{2} C g^{2}\)  is equal to
  1. \(\sqrt{a^{2}-b^{2}}\)
  2. \(a^{2}-b^{2}\)
  3. \(a^{2}+b^{2}\)
  4. \(\left(a^{2}-b^{2}\right)^{2}\)

Answer

(B) a^ 2 -b^ 2

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