Question

Problem:
Draw an isometric view of a square prism having a base with 40mm side and a 60mm long axis,
resting on the HP when (a) On its base with axis Perpendicular to the HP (b) On its rectangular faces
with axis perpendicular to the VP and (c) on its rectangular face with axis parallel to VP.
Solution:
(b)
(c)
Figure 4.8​

Answer 1

Answer:

L.H.S. = x2 – y2

= (p sec θ + q tan θ)2 – (p tan θ + q sec θ)2

= p2 sec θ + q2 tan2 θ + 2 pq sec 2 tan 2 -(p2 tan2 θ + q2 sec2 θ + 2pq sec θ tan θ)

= p2 sec θ + 2 tan2 θ + 2pq sec θ tan θ – p2 tan2 θ – q2 sec θ – 2pq sec θ tan θ

= p2(sec2 θ – tan2 θ) – q2(sec?2 θ – tan2 θ) =

= p2 – q2 …[sec2 θ – tan2 θ = 1

= R.H.S.hii

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