1 Construct a right angled triangle given hypotenuse = 60 mm. Difference between sides = 20 mm
2 Construct a hexagon of side 35 mm by a) Circle method, b) Using set square
3 Draw an arc of radius 70 mm tangentially externally to circle of radius 20 mm and internally to another circle of radius 30 mm. The centers of two circles are 60 mm apart. Also mark the point of tangency.
4 Inscribe 5 equal semicircles in a pentagon of side 30 mm, each semicircle touching two sides of the pentagon.
5 Draw a helix of 72 mm pitch for one revolution around a right circular cone of diameter 60 mm and height 72 mm. Also show the plan and development of helix.
6 Draw the projections of the following points.
I. E, 25mm above the HP and in the VP.
II. F, 30mm below the HP and in the VP
III. G, 35mm in front of the VP and in the HP.
IV. H, 40mm behind the VP and in the HP
7 Draw the projections of a regular pentagon of 40 mm side, having its surface inclined at 30° to the HP and a side parallel to the HP and inclined at an angle of 60° to the VP.
8 A right circular cone, diameter of base 50 mm and height 65 mm rests on its base rim on HP with its axis inclined at 45° to HP and axis inclined at 30° to VP. (Take apparent angle here)
9 A hollow square prism, outside base edges 50 mm, height 60 mm and thickness 10mm is resting on its base on HP such that one of its vertical faces is inclined at 30° to the VP. A section plane inclined at 30° to the HP and perpendicular to the VP passes through the axis 15 mm from its top end cuts the prism. Draw it’s a)Front view b)Sectional top view c) True shape of the section d) Sectional side view.
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