Question
Download Solution PDFThe sum of the focal distance of a point on the ellipse
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The standard equation of an ellipse is given by:
The sum of the focal distance of any point on an ellipse is constant and equal to the length of the major axis of the ellipse.
If a > b then PS + PS' = 2a = Major axis
If b > a then PS + PS' = 2b = Major axis
Calculation:
Given:
Equation of ellipse is
Here a2 = 4 and b2 = 9
⇒ a = 2 and b = 3
b > a so the major axis lies on y – axis with length 2b.
Now, sum of the focal distance = 2b = 2 × 3 = 6 units
Last updated on May 31, 2025
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