Question

fimd the latus rectum and equation of the parabola whose vertex is origin amd directrix is x+y=2

Answer 1

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Answer 2

Step-by-step explanation:

x+y=2 is directrix of parabola

vertex is A(0,0)

latus rectum ⇒4a⇒4

2

.

eq. of parabola ⇒

(

2

x−y

)

2

=4

2

[

2

x+y

]

(x−y)

2

=8x+y

⇒x

2

−2xy+y

2

−8x−8y=0