The correct option is(A): monobasic acid and weak Lewis acid.
H3BO3 (Boric Acid):
Monobasic Acid: Boric acid is a weak monobasic acid. This means it can donate one hydrogen ion (H+) per molecule when it reacts with water. However, its acidity is relatively weak compared to strong acids. It forms a relatively small number of hydrogen ions in solution.
Weak Lewis Acid: Boric acid is considered a weak Lewis acid. A Lewis acid is a species that can accept an electron pair from a Lewis base during a chemical reaction. In the case of boric acid, it has an empty p-orbital on the boron atom, which allows it to accept an electron pair from a Lewis base.
Given below are two statements.
In the light of the above statements, choose the correct answer from the options given below:
Let $ S $ denote the locus of the point of intersection of the pair of lines $$ 4x - 3y = 12\alpha,\quad 4\alpha x + 3\alpha y = 12, $$ where $ \alpha $ varies over the set of non-zero real numbers. Let $ T $ be the tangent to $ S $ passing through the points $ (p, 0) $ and $ (0, q) $, $ q > 0 $, and parallel to the line $ 4x - \frac{3}{\sqrt{2}} y = 0 $.
Then the value of $ pq $ is
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 ________.