The correct answer is 1 (A and B) because Headlong Hall and Nightmare Abbey were written by Thomas Love Peacock, while the other works listed were written by different authors.
Here's a breakdown of the works:
Headlong Hall (A) - Written by Thomas Love Peacock, a satirical novel published in 1816.
Nightmare Abbey (B) - Written by Thomas Love Peacock, a satirical novel published in 1818, often poking fun at the Romantic movement.
The other works are by different authors:
Imaginary Conversations (C) - Written by Walter Savage Landor, a series of dialogues between historical figures, published between 1824 and 1853.
The Spirit of the Age (D) - Written by William Hazlitt, a collection of essays about contemporary writers, published in 1825.
Specimens of the English Dramatic Poets who Lived about the Time of Shakespeare (E) - Written by Charles Lamb, a collection of dramatic works published in 1808.
So, only A (Headlong Hall) and B (Nightmare Abbey) were written by Thomas Love Peacock, making Option 1 the correct answer.