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Question

The equation of the ellipse with its focus at (6, 2), centre at (1, 2) and which passes through the point (4, 6) is


Your Answer
A
 
Your Answer
B
 
Your Answer
C
 
Correct Answer
D
 

Solution

The correct option is D  
Given that one focus S = (6, 2), centre C = (1, 2),P = (4, 6)
The other focus S’ = (–4, 2) (since C is the midpoint of SS’)
SS’ = 2ae 2ae = 10  ae = 5;
SP+SP=2a25+45a=35a2=45 and b2=a2a2e2b2=20
 Equation of the ellipse is (x1)245+(y2)220=1

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