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)

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

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