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if the vertex and focus of parabola are (3,6) and (4,5) respectively then the equation of its directrix is ???? please give solution........

if the vertex and focus of parabola are (3,6) and (4,5) respectively then the equation of its directrix is ????
please give solution........

Grade:12

1 Answers

Arun
25758 Points
3 years ago
Dear student
 
as vertex is the mid point of foot of directrix and focus
 
hence
foot of directrix = (2, 7)
 
Now directrix is perpendicular to the line joining the focus and vertex
 
hence slope of directrix = – 1/ ( – 1) = 1
 
hence equation of directrix is
 
y – 7 = 1 ( x – 2)
 
y = x + 5

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