An ellipse has the point (1_ 1 -1 ) and (2,-1) as its foci and x+y=5 as one of its…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

An ellipse has the point \(\left(1_{1}-1\right)\)and \((2,-1)\) as its foci and \(x+y=5\) as one of its tangent then the coordinates of the point where this line touches the ellipse are
  1. \(\left(\frac{34}{9}, \frac{11}{9}\right)\)
  2. \(\left(\frac{32}{9}, \frac{13}{9}\right)\)
  3. \(\left(-\frac{34}{9}, \frac{79}{9}\right)\)
  4. \(\left(-\frac{32}{9}, \frac{77}{9}\right)\)

Answer

(A) ( 34 9 , 11 9 )

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