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Q. 22

Found in: Page 772


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Use Cartesian coordinates to express the equations for the parabolas determined by the conditions specified in Exercises 22–31.

directrix x=3, focus (0,1)

The equation is (y-1)2=-6x+9.

See the step by step solution

Step by Step Solution

Step 1. Given information.

We are given,

directrix x=3, focus (0,1)

Step 2. Distance formula.


Let (x,y) be any point on the parabola.

We know,

Formula for the distance =x2-x12+y2-y12 Distance =(0-x)2+(1-y)2 since x1=x,y1=y,x2=0,y2=1

Now, the distance between the point and directrix x-3



Step 3. Final answer.

On simplifying the equation,


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