Question:
If a parabolic reflector is 20 cm in diameter and 5 cm deep, find the focus.
Answer:
given diameter of the parabole is 20 m.
The equation of parabola is y2 = 4ax.
Since this parabola passes throught the point A(5,10) then
102 = 4a*5
=> 20a = 100
=> a = 100/20
=> a = 5
So focus of parabola is (a,0) = (5,0).
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