Match the List-I with List-II:
The above given top view corresponds to
Select the correct statements for the given figure.
(i) A horizontal pyramid is placed with its axis parallel to both H.P. and V.P.
(ii) The solid has three triangular faces in total.
(iii) A horizontal pyramid is placed with its axis perpendicular to V.P.
(iv) It is an example of polyhedron.
Orthographic projection of a cube is shown as :
Fig. 2 shows the assembly of a SLEEVE AND COTTER JOINT. Disassemble the parts correctly and then draw to scale 1:1 its following views of the following components. Keeping the same position of both sleeve and cotter-B with respect to both H.P. and V.P.:
(i) SLEEVE
(a) Front view lower half in section
(b) Left side view
(ii) COTTER-B
(a) Front view
(b) Left side view
Print the title and scale used. Draw the projection symbol. Give 6 important dimensions.
Fig. 1 shows the details of the parts of a TURN-BUCKLE. Assemble all these parts correctly and then draw to scale 1 : 1 its following views. Keep 54 mm threaded portion of each rod inside the body of turn-buckle.
(i) Front view upper half in section
(ii) Right side view
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).