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Question. The mirror image of focus to the parabola 4(x+y)=y^2 with respect to the directrix is 1.(0,2) 2.(2,2) 3.(-4,2) 4.(-2,2)

Question. The mirror image of focus to the parabola 4(x+y)=y^2
with respect to the directrix is
1.(0,2)
2.(2,2)
3.(-4,2)
4.(-2,2)

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
y^2 – 4y + 4 = 4x + 4
 
(y – 2)^2 = 4(x+1)
 
hence 
 
focus = (1 – 1 , 2)
 
 = ( 0, 2)
 
now directrix = 
 
x = – 1
 
hence mirror image = ( – 2 , 2)

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