Given parabola is y2=4ax
Its focus is (a,0)
Equation of latus rectum is x=a
The parabola is symmetrical about the x-axis
Required area = 2[ Area in the first quadrant between the limits x=0 and x=a]
=2∫0aydx=2∫0a4axdx=2(2a)∫0ax21dx=4a[23x23]∣0a=4a(38a2)=38a2sq.units
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