Question

find the equation of parabola whose vertex is origin and directrix is x+y=2​

Answer 1

x+y=2 is directrix of parabola

vertex is A(0,0)

latus rectum ⇒4a⇒4√2

eq. of parabola ⇒

$\mathsf{( \frac{x - y}{ \sqrt{2} } )}^{2} \\ \\ \mathsf{= 4 \sqrt{2} \: (\frac{x + y}{2})} \\ \\ \mathsf{= {(x - y)}^{3} = \fbox \red{\boxed{8x + y}}}$

I HOPE IT HELPS.

Answer 2

$\huge\rm\red{ANSWER\::-}$

REFER THE ABOVE ATTACHMENT.

${\huge{\boxed{\mathcal{\orange{Thanks!!}}}}}$

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