| List-I (Molecule / Species) | List-II (Property / Shape) |
|---|---|
| (A) \(SO_2Cl_2\) | (I) Paramagnetic |
| (B) NO | (II) Diamagnetic |
| (C) \(NO^{-}_{2}\) | (III) Tetrahedral |
| (D) \(I^{-}_{3}\) | (IV) Linear |
(A) SO$_2$Cl$_2$: Hybridization is sp$^3$, Tetrahedral shape.
(B) NO: Unpaired electron, hence Paramagnetic.
(C) NO$_2^-$: Paired electrons, hence Diamagnetic.
(D) I$_3^-$: Linear shape with sp$^3$d hybridization.
To solve the problem of matching molecules/species with their properties or shapes, let's systematically analyze each molecule listed under List-I and match them with the appropriate category from List-II.
After analyzing each molecule/species, the correct matches are established as follows:
Therefore, the correct match-answer is: A-III, B-I, C-II, D-IV.
Let a line passing through the point $ (4,1,0) $ intersect the line $ L_1: \frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4} $ at the point $ A(\alpha, \beta, \gamma) $ and the line $ L_2: x - 6 = y = -z + 4 $ at the point $ B(a, b, c) $. Then $ \begin{vmatrix} 1 & 0 & 1 \\ \alpha & \beta & \gamma \\ a & b & c \end{vmatrix} \text{ is equal to} $