Instructions:
(i) Attempt any three out of the following five questions. All questions have equal marks.
(ii) In the construction, given lines and required lines must be clearly shown.
(iii) Do not erase construction lines.
(iv) Do all the rough work on white foolscap paper and stitch it with your answer
-sheet.
(a) Construct a triangle ABC with a perimeter of 12 cm, with sides in the ratio of 3:4:5.
b) Draw an indirect tangent line on two equal circles of radii 3 cm each and whose centres are 7 cm apart.
c) Construct a parallelogram ABCD whose two adjacent sides AB and AD are 5 cm and 6 cm, respectively, and the angle between these two is 60°. Construct a rectangle of equal area to the given parallelogram.
d) Construct a hexagon with its side equal to 5 cm.
e) Construct a simple scale, in which 4 cm represents 1 metre distance. Find its representative fraction and show 2 metres and 5 decimetres distance on it.