STATEMENT -1 : The images of an object placed between two plane mirror inclined at an angle `theta` are symmetrical placed.
and
STATEMENT - 2 : The images of an object by inclined plane mirrors lie on a circle.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-8
B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-9
C. Statement-1 is True, Statement-2 is false
D. Statement-1 is False, Statement-2 is True

Answer

To analyze the statements provided in the question, we will break down the reasoning step by step.

### Step-by-Step Solution:

**Step 1: Understanding Statement 1**
- Statement 1 claims that the images of an object placed between two plane mirrors inclined at an angle \( \theta \) are symmetrically placed.
- When an object is placed between two plane mirrors, each mirror reflects the object, creating multiple images. The angles of reflection and incidence are equal, leading to symmetrical placement of images.

**Step 2: Visualizing the Setup**
- Imagine two plane mirrors inclined at an angle \( \theta \).
- Place an object between them. Each mirror will create an image of the object. The images will be located at equal distances from the respective mirrors, leading to a symmetrical arrangement.

**Step 3: Understanding Statement 2**
- Statement 2 states that the images of an object by inclined plane mirrors lie on a circle.
- When the mirrors are inclined, the images formed by the reflections can be shown to lie on the circumference of a circle. This is due to the geometric properties of reflections in mirrors.

**Step 4: Relating the Two Statements**
- The symmetry in the placement of images (Statement 1) is a direct consequence of the fact that these images lie on a circle (Statement 2).
- The images are symmetrically placed because they are reflections that maintain equal angles with respect to the mirrors.

**Step 5: Conclusion**
- Both statements are correct. Statement 2 provides a valid explanation for Statement 1. Thus, the conclusion is that both statements are true and Statement 2 is the correct explanation for Statement 1.

### Final Answer:
Both Statement 1 and Statement 2 are true, and Statement 2 is the correct explanation for Statement 1.

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