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Q.

A man running a race course notes that the sum of distance of two flag posts from  him is always 10 meters and distance between the flag post’s is 8 meters and Locus of man is a conic then length of the latus rectum of the conic is _______ 

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a

125

b

35

c

45

d

185

answer is D.

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Detailed Solution

 Given SP+S1P=2a2a=10a=5;2ae=8e=45b=3;

 Latus rectum =2b2a=185

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