Is it correct illusrations of the Gerund forms?
Are the next sentences correct?
And do the native speakers often use all of them in speaking language?

I like working. Active Indefinite Gerund

The task being worked a long time. Passive Indefinite Gerund
She having remembered me when I entered the house. Active Perfect Gerund
The car having been repaired a long time when I started working too. Passive Perfect Gerund

Thanks for yours answers and attention!

Question

Is it correct illusrations of the Gerund forms?
Are the next sentences correct?
And do the native speakers often use all of them in speaking language?

I like working.                                                                                                           Active Indefinite  Gerund

The task being worked a long time.                                                                     Passive  Indefinite  Gerund         
She having remembered me when I entered the house.                                   Active Perfect  Gerund                          
The car having been repaired a long time when I started working too.          Passive   Perfect  Gerund

Thanks for yours answers and attention!

Answer

Active Indefinite Gerund - I like swimming, reading, etc. - Correct!
Passive Indefinite Gerund - He likes being read. - Он любит, когда ему читают. (Ваш вариант неправильный.)
Active Perfect Gerund - I remember having read this book. - Я помню, что читал эту книгу. (Ваш вариант неправильный)
Passive Perfect Gerund  - I remember having been read this book. - Я помню, что мне читали эту книгу. (Ваш вариант неправильный)
Все формы герундия употребляются в разговорной речи при необходимости.

Answer

Do native speakers often use all of them in the spoken language?