Among (a) -(d) the complexes that can display geometical isomerism are :
(a) `[Pt(NH_(3))_(3)Cl]^(+)`
(b) `[Pt(NH_(3))Cl_(5)]^(-)`
(c) `[Pt (NH_(3))_(2)Cl(NO_(2))]`
(d) `[Pt(NH_(3))_(4)CIBr]^(2+)`

Options

A. (d) and (a)
B. (c) and (d)
C. (b) and (c)
D. (a) and (b)

Answer

To determine which of the given complexes can display geometrical isomerism, we need to analyze each complex individually. Geometrical isomerism occurs when ligands can be arranged in different spatial orientations around a central metal atom, leading to distinct isomers.

### Step-by-Step Solution:

1. **Analyze Complex (a): `[Pt(NH₃)₃Cl]⁺`**
- The complex has three identical ligands (NH₃) and one different ligand (Cl).
- Since all three NH₃ ligands are identical, they cannot be arranged to create distinct cis or trans isomers.
- **Conclusion:** This complex does not display geometrical isomerism.

2. **Analyze Complex (b): `[Pt(NH₃)Cl₅]⁻`**
- This complex has one NH₃ ligand and five Cl ligands.
- Similar to the first complex, the presence of five identical Cl ligands means that there are no distinct spatial arrangements possible for cis or trans isomers.
- **Conclusion:** This complex does not display geometrical isomerism.

3. **Analyze Complex (c): `[Pt(NH₃)₂Cl(NO₂)]`**
- This complex has two NH₃ ligands, one Cl ligand, and one NO₂ ligand.
- The two NH₃ ligands can be arranged in different spatial orientations relative to the Cl and NO₂ ligands.
- Possible arrangements include:
- **Cis:** Both NH₃ ligands on the same side.
- **Trans:** NH₃ ligands on opposite sides.
- **Conclusion:** This complex can display geometrical isomerism.

4. **Analyze Complex (d): `[Pt(NH₃)₄ClBr]²⁺`**
- This complex has four NH₃ ligands, one Cl ligand, and one Br ligand.
- The four NH₃ ligands are identical, but the presence of Cl and Br allows for different arrangements.
- Possible arrangements include:
- **Cis:** Cl and Br on the same side.
- **Trans:** Cl and Br on opposite sides.
- **Conclusion:** This complex can also display geometrical isomerism.

### Final Answer:
The complexes that can display geometrical isomerism are **(c) `[Pt(NH₃)₂Cl(NO₂)]`** and **(d) `[Pt(NH₃)₄ClBr]²⁺`**.