These domains provide a consistent way to describe and understand the architecture from different perspectives, such as business, information, and technology12. Each domain has its own set of concepts, models, views, and artifacts that define the structure and behavior of the architecture within that domain12.
The other options are incorrect because:
* Logical and Physical are not architecture domains, but rather levels of abstraction that can be applied to any domain. Logical architecture describes the functionality and behavior of the system, while physical architecture describes the implementation and deployment of the system3.
* Information and Data are not distinct architecture domains, but rather aspects of the same domain. Information architecture describes the meaning and context of the data, while data architecture describes the structure and format of the data4.
* Capability and Segment are not architecture domains, but rather levels of granularity that can be applied to any domain. Capability architecture describes the current and desired states of a specific business capability, while segment architecture describes a subdivision of the enterprise that has a clear business focus5.

Explanation
According to the TOGAF Standard, Version 9.2, the ADM phases and their objectives are as follows1:
Preliminary Phase: To prepare and initiate the architecture development cycle, including defining the architecture framework, principles, and governance.
Phase A: Architecture Vision: To define the scope, vision, and stakeholders of the architecture initiative, and to obtain approval to proceed.
Phase B: Business Architecture: To describe the baseline and target business architecture, and to identify the gaps between them.
Phase C: Information Systems Architectures: To describe the baseline and target data and application architectures, and to identify the gaps between them.
Phase D: Technology Architecture: To describe the baseline and target technology architecture, and to identify the gaps between them.
Phase E: Opportunities and Solutions: To identify and evaluate the opportunities and solutions for implementing the target architecture, and to define the work packages and transition architectures.
Phase F: Migration Planning: To finalize the implementation and migration plan, and to ensure alignment with the enterprise portfolio and project management.
Phase G: Implementation Governance: To provide architecture oversight and guidance for the implementation projects, and to manage any architecture change requests.
Phase H: Architecture Change Management: To monitor the changes in the business and technology environment, and to assess the impact and performance of the architecture.
Requirements Management: To manage the architecture requirements throughout the ADM cycle, and to ensure alignment with the business requirements.
Based on the above definitions, we can match each objective with the corresponding phase as follows:
Objective 1: Ensure that the business value and cost of work packages and transition architectures is understood by key stakeholders. This objective is achieved in Phase H: Architecture Change Management, where the value realization and cost-benefit analysis of the architecture are performed2.
Objective 2: Ensure conformance with the Target Architecture by implementation projects. This objective is achieved in Phase F: Migration Planning, where the conformance requirements and criteria for the implementation projects are defined3.
Objective 3: Ensure that the architecture development cycle is maintained. This objective is achieved in Phase F: Migration Planning, where the architecture roadmap and iteration cycle are maintained3.
Objective 4: Ensure that the Architecture Governance Framework is executed. This objective is achieved in Phase G: Implementation Governance, where the architecture governance processes and procedures are applied to the implementation projects4.
References:
1: The TOGAF Standard, Version 9.2, Chapter 5: Architecture Development Method (ADM)
2: The TOGAF Standard, Version 9.2, Chapter 21: Architecture Change Management
3: The TOGAF Standard, Version 9.2, Chapter 20: Migration Planning
4: The TOGAF Standard, Version 9.2, Chapter 19: Implementation Governance

1E: To identify delivery vehicles (projects programs portfolios) that will deliver the Target Architecture 2F: To confirm readiness and ability to undergo change 3E: To determine whether an incremental approach is required and if so identify Transition Architectures that will deliver continuous business value 4G: To perform appropriate governance functions while the solution is being implemented

The four dimensions used to scope an architecture are Breadth, Depth, Time Period, and Architecture Domains. Breadth refers to the extent of the enterprise covered by the architecture. Depth refers to the level of detail and completeness of the architecture. Time Period refers to the planning horizon and the number of Transition Architectures required to achieve the Target Architecture. Architecture Domains refer to the four domains of Business, Data, Application, and Technology that constitute an enterprise's architecture. Reference: The TOGAF Standard | The Open Group Website, Section 3.2.1 Phase A: Architecture Vision.

An Architecture Board is an executive-level group responsible for the review and maintenance of the strategic architecture and all of its sub-architectures1. It is a key element in a successful Architecture Governance strategy2.
An Architecture Board is typically made responsible, and accountable, for achieving some or all of the following goals2:
Providing the basis for all decision-making with regard to the architectures Consistency between sub-architectures Establishing targets for re-use of components Flexibility of the Enterprise Architecture: To meet changing business needs To leverage new technologies Enforcement of Architecture Compliance Improving the maturity level of architecture discipline within the organization Ensuring that the discipline of architecture-based development is adopted Supporting a visible escalation capability for out-of-bounds decisions Therefore, the correct answer is option D, which captures one of the goals of an Architecture Board as stated in the TOGAF Standard, Version 9.22.
Option A is incorrect, because conducting assessments of the maturity level of architecture discipline within the organization is not a direct responsibility of an Architecture Board, but rather a part of the Architecture Capability Framework3.
Option B is incorrect, because allocating resources for architecture projects is not a direct responsibility of an Architecture Board, but rather a part of the Architecture Governance Framework4.
Option C is incorrect, because creating the Statement of Architecture Work is not a direct responsibility of an Architecture Board, but rather a part of the Architecture Development Method5. References:
1: Architecture Board - The Open Group3
2: TOGAF Standard, Version 9.2 - Part VI: Architecture Governance Framework - Architecture Board
3: TOGAF Standard, Version 9.2 - Part VI: Architecture Governance Framework - Architecture Capability Framework
4: TOGAF Standard, Version 9.2 - Part VI: Architecture Governance Framework - Architecture Governance Framework
5: TOGAF Standard, Version 9.2 - Part II: Architecture Development Method - Phase A: Architecture Vision