Match the List I with List II for the given isometric projection of combination of solids:
Show Hint
Any line or axis that is vertical is always perpendicular to H.P. and parallel to V.P. Any axis that is horizontal and aligned with an isometric baseline can be parallel to both planes.
Step 1: Analyzing the Solid Elements and their Orientations:
Let us carefully match each item in List I with its geometric description in List II:
• (1) Pentagonal surface: The pentagonal surface represents the end face of the horizontal pentagonal prism. Since the prism's axis is horizontal, its vertical cross-sections (the pentagonal faces) lie on a vertical profile plane which is perpendicular to both the H.P. and V.P. Therefore, (1) matches with (ii) perpendicular to H.P. and V.P. both.
• (2) Axis of upper solid: The upper solid is a cone resting vertically on its circular base. Its axis is vertical, which means it is perpendicular to the horizontal ground plane (H.P.) and parallel to the vertical projection plane (V.P.). Therefore, (2) matches with (iv) perpendicular to H.P. and parallel to V.P..
• (3) One rectangular surface: The pentagonal prism has rectangular lateral faces. The top rectangular face of this prism is completely horizontal (on which the cone is placed). A horizontal surface is parallel to the H.P. and perpendicular to the V.P. Therefore, (3) matches with (i) parallel to H.P. and perpendicular to V.P..
• (4) Axis of lower solid: The lower solid is a pentagonal prism with its axis lying horizontally and running parallel to both H.P. and V.P. (aligned with the left-to-right isometric horizontal direction). Therefore, (4) matches with (iii) parallel to V.P. and H.P. both.
Step 2: Selecting the Correct Combined Option:
Matching these pairs: (1)-(ii), (2)-(iv), (3)-(i), (4)-(iii) corresponds perfectly to option (A).
