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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=2a⇒2a=10⇒a=5;2ae=8⇒e=45⇒b=3; Latus rectum =2b2a=185
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