The reaction of HClO3 with HCl gives a paramagnetic gas, which upon reaction with O3 produces
The correct option is C \(\text{Cl}_2\text{O}_6\)
\(2HClO_3+2HCl→2ClO_2+Cl_2+2H_2O\)
\(\text{ClO}_2\) produced here is a paramagnetic gas.
\(2\text{ClO}_2 + 2\text{O}_3 \rightarrow \text{Cl}_2\text{O}_6 + 2\text{O}_2\)
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 ________.