
(a) iii, (b) iv, (c) ii, (d) i
(a) iii, (b) i, (c) iv, (d) ii
(a) i, (b) ii, (c) iii, (d) iv
(a) ii, (b) iii, (c) iv, (d) i
To solve the problem, we need to correctly match the types of fractures in List - I with their corresponding features in List - II.
List - I (Fracture Types):
(a) Transverse
(b) Oblique
(c) Green stick
(d) Comminuted
List - II (Features):
(i) Bone breaks diagonally
(ii) Bone is crushed into a number of pieces
(iii) Straight break right across a bone
(iv) Soft bone, in which bone bends
Matching:
Final Answer:
(a) - (iii), (b) - (i), (c) - (iv), (d) - (ii)
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 \(P,O,Q\).