Pickling is an age-old method of preserving cucumbers by fermentation or using brine and vinegar.
Below is a simple flowchart for preparing cucumber pickles by brine fermentation method:
Selection of fresh cucumbers
$\downarrow$
Washing and sorting
$\downarrow$
Trimming ends and slicing if needed
$\downarrow$
Preparation of brine solution (5–8% salt)
$\downarrow$
Placing cucumbers in clean jars
$\downarrow$
Pouring brine to cover cucumbers completely
$\downarrow$
Covering jars with lids or cloth to allow fermentation
$\downarrow$
Fermentation at room temperature for 2–4 weeks
$\downarrow$
Checking for proper sourness and sealing jars
During fermentation, lactic acid bacteria convert sugars in cucumbers into lactic acid, which acts as a natural preservative.
This method enhances flavor, preserves texture, and extends shelf life.
Good hygiene and correct brine concentration are essential to avoid spoilage.
Match List-I with List-II
| List-I (Examples) | List-II (Type of processed foods) |
|---|---|
| (A) Pickles, jam, marmalade, squashes | (I) Functional foods |
| (B) Probiotics | (II) Formulated foods |
| (C) Frozen peas and frozen vegetables, canned fruits and vegetables | (III) Manufactured foods |
| (D) Bread, biscuits, ice cream | (IV) Preserved foods |
Choose the correct answer from the options given below:
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 \(P,O,Q\).