SOLUTION: Find the equation
of the parabola
whose focus is (1,
–2) and directrix is
the line parallel to
6x – 7y + 9 = 0
and directrix
passes through
point (3/2,2)
Algebra ->
Circles
-> SOLUTION: Find the equation
of the parabola
whose focus is (1,
–2) and directrix is
the line parallel to
6x – 7y + 9 = 0
and directrix
passes through
point (3/2,2)
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Question 1087652: Find the equation
of the parabola
whose focus is (1,
–2) and directrix is
the line parallel to
6x – 7y + 9 = 0
and directrix
passes through
point (3/2,2) Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website! Solution:
Let (, ) be any point on the parabola. Then by definition, the distance between (, ) and the focus (,) must be equal to the length of perpendicular from (, ) on directrix.
So first we will find the equation of the directrix.
The line parallel to …… (1)
Since directrix passes through (,), this point will satisfy equation (1) and hence
Equation of directrix is
Now by definition of parabola,
...square both sides
-> your equation
