Using the worksheet, find out the error and its reason for the given 'VLOOKUP' syntax:
\[ \begin{array}{|c|c|c|c|} \hline \text{S. No.} & \text{Consumables} & \text{Price in FY 21-22} & \text{Price in FY 23-24} \\ \hline 1 & \text{Muskmelon} & 45 & 122 \\ 2 & \text{Watermelon} & 9 & 21 \\ 3 & \text{Squash} & 22 & 35 \\ 4 & \text{Gourd} & 47 & 68 \\ 5 & \text{Curd} & 49 & 66 \\ 6 & \text{Brisket} & 33 & 43 \\ 7 & \text{Poultry} & 88 & 96 \\ \hline \end{array} \]
(i) =VLOOKUP(B1, B4 : D6, 2, 0)
(ii) =SQRT(VLOOKUP(C2, C2 : D8, 2, 0) – 100)
(iii) =VLOOKUP(B5, B6 : D8, 1, 0)
(iv) =VLOOKUP(B3, B2 : D8, 5, 0)
(v) =VLOOKUP(B5, B3 : D8, 0, 0)
(vi) =VLOOKUP(B2, B2 : D7, 2, 0)/0
\[ \begin{array}{|c|c|c|} \hline \textbf{VLOOKUP Syntax} & \textbf{Error} & \textbf{Reason} \\ \hline \text{(i) =VLOOKUP(B1, B4:D6, 2, 0)} & \#N/A & \text{B1 is not found in the first column of B4:D6.} \\ \hline \text{(ii) =SQRT(VLOOKUP(C2, C2:D8, 2, 0) - 100)} & \#N/A & \text{C2 is not in the first column of C2:D8, causing an invalid result.} \\ \hline \text{(iii) =VLOOKUP(B5, B6:D8, 1, 0)} & \#VALUE! & \text{Column index 1 is invalid for the range B6:D8.} \\ \hline \text{(iv) =VLOOKUP(B3, B2:D8, 5, 0)} & \#REF! & \text{Column index 5 exceeds the columns in B2:D8.} \\ \hline \text{(v) =VLOOKUP(B5, B3:D8, 0, 0)} & \#VALUE! & \text{Column index 0 is invalid (must be at least 1).} \\ \hline \text{(vi) =VLOOKUP(B2, B2:D7, 2, 0)} & \text{No error} & \text{Correct syntax, returns value from the second column.} \\ \hline \end{array} \]
Explanation:
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 \(P,O,Q\).