Let an ellipse with centre (1, 0) and latus rectum of length 
have its major axis along x-axis. If its minor axis subtends an angle 60° at the foci, then the square of the sum of the lengths of its minor and major axes is equal to_______.
Text Solution
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(9)
Given,
An ellipse with centre (1, 0) and latus rectum of length 
have its major axis along x-axis
And its minor axis subtends an angle 60° at the foci,
So, on plotting the diagram we get,
Now from diagram we get,
…
And 
….
Now from equation & we get,
Hence, (2a + 2b) 2 = 9
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