Oxidation is the loss of electrons during a chemical reaction. The molecule that helps in the oxidation process is the oxidising agent and the molecule that gets oxidised acts as a reducing agent.
When Na₂S₂O₃ reacts with Cl₂, it gets oxidised. The reaction for the same is as follows:
Na₂S₂O₃ +4Cl+ 5H₂O →2NaHSO₄ + 8HCl
Given below are two statements.
In the light of the above statements, choose the correct answer from the options given below:
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.
Let $ \mathbb{R} $ denote the set of all real numbers. Then the area of the region $$ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x},\ 5x - 4y - 1 > 0,\ 4x + 4y - 17 < 0 \right\} $$ is