Let the hyperbola 
pass through the point 
. A parabola is drawn whose focus is same as the focus of 
with positive abscissa and the directrix of the parabola passes through the other focus of 
. If the length of the latus rectum of the parabola is e times the length of the latus rectum of 
, where 
is the eccentricity of 
, then which of the following points lies on the parabola?
Text Solution
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Foci : 
Foot of directrix of parabola is 
Focus of parabola is (ae, 0 )
Now, semi latus rectum of parabola 
Given, 
Given, 
lies on 
From (1) and (2)
Equation of parabola is 
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