The \#DIV/0! error in Excel occurs when a formula attempts to divide a number by zero or when the denominator is a blank cell. It can be addressed using the following methods:
1. Validate Input Data: Ensure that the cell used as the denominator contains a valid numeric value and is not blank.
2. Using IF Function: Add a condition to prevent division by zero: \[ {=IF(B1=0, "Error", A1/B1)} \] This formula returns "Error" when the denominator is zero or blank.
3. Using IFERROR Function: Use the tt{IFERROR} function to handle errors gracefully: \[ {=IFERROR(A1/B1, "Invalid Operation")} \] This replaces the error with a custom message or alternative value.
4. Conditional Formatting: Highlight potential problem cells (e.g., cells containing zero in the denominator) using conditional formatting rules to quickly identify and correct them.
5. Data Validation: Use Excel's Data Validation feature to restrict inputs to valid values only, avoiding blank or zero entries in denominator cells.
6. Check Formula References: Ensure that all referenced cells in the formula are correctly linked and contain appropriate values.
By proactively managing inputs, using error-handling functions, and validating data, the occurrence of \#DIV/0! errors can be minimized.
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 \(P,O,Q\).