
To solve this problem, we need to match the tests in List-I with their correct observations in List-II. Let's analyze each test and its typical outcome:
Based on the analysis above, the correct matching is:

The correct answer is: A-II, B-III, C-IV, D-I.
To solve the problem, we need to match each test in List I with the correct observation from List II. Let's analyze each test and its corresponding observation:

Based on these correct associations, the matched list is:
The correct answer is thus: A-II, B-III, C-IV, D-I.


The given circuit works as: 
Let the lines $L_1 : \vec r = \hat i + 2\hat j + 3\hat k + \lambda(2\hat i + 3\hat j + 4\hat k)$, $\lambda \in \mathbb{R}$ and $L_2 : \vec r = (4\hat i + \hat j) + \mu(5\hat i + + 2\hat j + \hat k)$, $\mu \in \mathbb{R}$ intersect at the point $R$. Let $P$ and $Q$ be the points lying on lines $L_1$ and $L_2$, respectively, such that $|PR|=\sqrt{29}$ and $|PQ|=\sqrt{\frac{47}{3}}$. If the point $P$ lies in the first octant, then $27(QR)^2$ is equal to}