All 11 Uses of

resolution
in
Northanger Abbey

Catherine had nothing to oppose against such reasoning; and therefore, to show the independence of Miss Thorpe, and her resolution of humbling the sex, they set off immediately as fast as they could walk, in pursuit of the two young men.†
Chpt 6

The first wish of her heart was to improve her acquaintance with Miss Tilney, and almost her first resolution, to seek her for that purpose, in the pump-room at noon.†
Chpt 9

Catherine's resolution of endeavouring to meet Miss Tilney again continued in full force the next morning; and till the usual moment of going to the pump-room, she felt some alarm from the dread of a second prevention.†
Chpt 10

Her resolution was supported by Isabella's behaviour in their parting interview.†
Chpt 19

Catherine had no leisure for speech, being at once blushing, tying her gown, and forming wise resolutions with the most violent dispatch.†
Chpt 21 *

In the course of this morning's reflections, she came to a resolution of making her next attempt on the forbidden door alone.†
Chpt 24 *

Her mind made up on these several points, and her resolution formed, of always judging and acting in future with the greatest good sense, she had nothing to do but to forgive herself and be happier than ever; and the lenient hand of time did much for her by insensible gradations in the course of another day.†
Chpt 25

He felt himself bound as much in honour as in affection to Miss Morland, and believing that heart to be his own which he had been directed to gain, no unworthy retraction of a tacit consent, no reversing decree of unjustifiable anger, could shake his fidelity, or influence the resolutions it prompted.†
Chpt 30

Definitions:

(1) (resolution as in: a New Year's resolution)
a firm decision to do something
(2) (resolution as in: a United Nations resolution)
a formal statement of decision or opinion voted on by a group

While a resolution typically expresses an opinion and has no legal force, when used in early U.S. history or in the expressions joint resolution of Congress or continuing resolution, it becomes a synonym for legislation (meaning that it carries the force of law).
(3) (resolution as in: Her resolution weakened.)
determination (firmness of purpose)
(4) (resolution as in: resolution of the dispute)
a solution or outcome
(5) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

Much less commonly, other meanings of resolution include:
- a measure of optic detail -- as in: "The photograph has excellent resolution."
- separation into different parts -- as in: "When force is applied to an inclined plane there is resolution of the force into horizontal and vertical components."
- conversion to something else -- as in: "... resolution of the chord from dissonance (an unstable sound) to consonance (a more stable sound)."
- reduction to or conversion to something else -- as in: "It permits resolution of a URL to an IP address."