Assertion : The central catbon atom in `F_(2)C=C=CF_(2)` and both carbo atoms in `F_(2)B-Coverset(-)(=)C-BF_(2)` are sp-hybridized.
Reasom molecules are planar.

Options

A. If assertion is true but the reason is false
B. If assertion is false but reason is true
C. If both assertion and reason are true and the reason is the correct explanation of assertion
D. If both assertion and reason are true and the reason is not the correct explanation of assertion

Explanation

To solve the question, we will analyze the assertion and reason provided regarding the hybridization of carbon atoms in the given molecules and their planarity.

### Step-by-Step Solution:

1. **Identify the Structures**:
- The first structure is `F2C=C=CF2`.
- The second structure is `F2B-C≡C-BF2`.

2. **Determine Hybridization of Carbon Atoms**:
- For the first structure `F2C=C=CF2`:
- The central carbon atoms are involved in a double bond (C=C).
- Each carbon atom forms one sigma bond with the adjacent carbon and two pi bonds (one with each adjacent carbon).
- Therefore, each carbon atom in this structure is **sp-hybridized** because it forms two pi bonds and one sigma bond.

- For the second structure `F2B-C≡C-BF2`:
- Each carbon atom is involved in a triple bond (C≡C).
- In a triple bond, there is one sigma bond and two pi bonds.
- Thus, both carbon atoms in this structure are also **sp-hybridized**.

3. **Planarity of the Molecules**:
- A molecule is planar if all the atoms involved are in the same plane.
- For sp-hybridized carbon atoms, the geometry is linear, which means they will lie in a straight line.
- Therefore, both structures `F2C=C=CF2` and `F2B-C≡C-BF2` are indeed planar due to the linear arrangement of the sp-hybridized carbon atoms.

4. **Conclusion**:
- The assertion states that the central carbon atom in `F2C=C=CF2` and both carbon atoms in `F2B-C≡C-BF2` are sp-hybridized. This is **true**.
- The reason states that the molecules are planar. This is also **true** because sp-hybridization leads to a linear arrangement.
- Therefore, both the assertion and reason are true.

### Final Answer:
- The assertion is true, and the reason is also true.