Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A man running round a race course notes that the sum of the distances of two flag posts from him is 8 metres. The area of the path he encloses in square meters if the distance between flag is 4 is
A
15 π π
B
12 π π
C
18 π π
D
8 
π π
π π
Text Solution
Verified by ExpertsThe correct answer is:
D
By the given condition, the man running along the shape of an ellipse with the two flag posts as foci.
∴ ∴ Given 2ae = 4, a also SP+S’P = 8 = 2a ⇒ ⇒ a = 4
∴ ∴ ae = 2.
∴ ∴ a 2 e 2 = 4
∴ ∴ a 2 – b 2 = 4
b 2 = 12
The area enclosed = π π ab = 8 
π π .
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