Question icon
Grade 11Analytical Geometry

find the sum of squares of two diameters of the ellipse whose extremities have eccentric angle differ by 90

Profile image of yash
7 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
7 Years ago
  • The sum of the squares of any two conjugate semi-diameters of an ellipse is constant and equal to the sum of the squares of the semi-axis of the ellipse i.e. OP2 + OP2 = a2 + b2.