Question

The distance of the line y = -5 from the origin is​

Answer 1

Answer:

I am not sure if you have any other questions

Answer 2

Answer:

From figure we get co-ordinate of vertex 0

′

(1,1) and focus S(2,2).

and also Oo

′

=O

′

S

so, y=−x is directrix.

Let any point P(h,k) on the parabola.

So, PM=PS

⇒

2

h

=

(h−2)

2

+(k−2)

2

⇒(h+k)

2

=2(h

2

−4h+4+k

2

−4k+4)

⇒h

2

+k

2

+2hk=2h

2

+2k

2

−8h−8k+16

⇒h

2

+k

2

−2hk=8h+8k−16

⇒(h−k)

2

=8(h+k−2)

replace (h,k) by (x,y) we get

⇒(x−y)

2

=8(x+y−2)

Hence, the answer is (x−y)

2

=8(x+y−2).