pls answer it step by step
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Verified answer
option 1)8/3
Step-by-step explanation:
Given directrix is x=4
Eccentricity=
2
1
Focus is at (0,0)
Shifting focus to (h,0) such that centre becomes (0,0).
Equation of directrix becomes x=4+h which gives
Distance between center and focus i.e, ae=h and
Distance between center and directrix i.e,
e
a
=4+h
Solving for a
e=
2
1
⇒a=2h and 2a=4+h
2a=4+
2
a
⇒a= 8/3