How many capital letters of English alphabet show lateral inversion in a plane mirror ?

Explanation

To solve the question of how many capital letters of the English alphabet show lateral inversion in a plane mirror, we will follow these steps:

### Step-by-Step Solution:

1. **Understand Lateral Inversion**:
- Lateral inversion occurs when an object is reflected in a plane mirror, resulting in a mirror image that appears flipped horizontally. For example, the letter "L" appears as a reversed "L" in the mirror.

2. **Identify the Total Number of Capital Letters**:
- The English alphabet consists of 26 capital letters: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.

3. **Determine Symmetrical Letters**:
- Symmetrical letters do not show lateral inversion when viewed in a mirror. The symmetrical capital letters in the English alphabet are:
- A, H, I, M, O, T, U, V, W, X, Y
- Count these symmetrical letters:
- There are 11 symmetrical letters.

4. **Calculate Non-Symmetrical Letters**:
- To find the letters that show lateral inversion, subtract the number of symmetrical letters from the total number of letters:
- Total letters = 26
- Symmetrical letters = 11
- Non-symmetrical letters = Total letters - Symmetrical letters = 26 - 11 = 15

5. **Conclusion**:
- Therefore, the number of capital letters that show lateral inversion in a plane mirror is 15.

### Final Answer:
The number of capital letters of the English alphabet that show lateral inversion in a plane mirror is **15**.