Can I use JQ to narrow the json object in an array?

Input:

{"data": [      {"a": "a1","b": "b1","c": "1"      },      {"a": "a2","b": "b2","c": "2"      }    ]}

Expected output:

{"a": "a1", "b": "b1"}{"a": "a2", "b": "b2"}

The closest approach I can get so far is:

"a1""a2""b1""b2"

Demo

Checked the document and tried multiple combination include map_values, but can't finger out. I think it should be a prettier useful use case...

If I use:

{a: .data[].a, b: .data[].b}

The output becomes:

{"a": "a1","b": "b1"}{"a": "a1","b": "b2"}{"a": "a2","b": "b1"}{"a": "a2","b": "b2"}

obvious not what I want.

Any one can advise on this?Thanks.