Question

find equation of parabola having focus (6,0) and directrix x=-6​

Answer 1

Answer:

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Step-by-step explanation:

We have,

Equation of parabola

y

2

=4ax

Focus has positive x co ordinate.

So,

Co ordinate of focus =(a,0)

(a,0)=(6,0)

a=6

Hence, equation of parabola is

y

2

=4ax

y

2

=4×6x

y

2

=24x

Then,

Latus rectum =4a=4×6=24

Hence, this is the answer.

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Answer 2

Step-by-step explanation:

since focus lies on x axis

hence equation is either y2 =4ax

now focus has positive x coordinate

so we have to use equation y2=4ax

coordinate of focus =(a,0)

(a ,0)=(6,0)

a=6

hence equation of parabola is y2=4ax

y2= 4(6)x

y2=24x