Match the terms given in Column-I with their meaning in Column-II.
| Column-I | Column-II |
| a. Trademark | (i) A name, term, sign, symbol, design or some combination of them used to identify the products and differentiate them from the competitors. |
| b. Brand name | (ii) A brand or a part of the brand that is given legal protection. |
| c. Brand | (iii) That part of the brand which can be recognised but which is not utterable. |
| d. Brand mark | (iv) That part of the brand which can be spoken. |
Choose the correct option from the following:
The correct matching is:
| Term | Correct Match | Examples |
|---|---|---|
| Trademark | (ii) Legal protection | Nike's Swoosh® |
| Brand name | (iv) Speakable part | "Coca-Cola" |
| Brand | (i) Identification system | Apple's ecosystem |
| Brand mark | (iii) Visual non-utterable | McDonald's Golden Arches |
Key Differentiators:
Final Answer: (C) a-(ii), b-(iv), c-(i), d-(iii)
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 \(P,O,Q\).