Being myopic, the far point for the left eye of a person has shifted to 1.5 metre while being hypermetropic, the near point for his right eye has shifted to 0.50 metre. Find the powers of the lenses used for the corrections.

Explanation

To solve the problem of finding the powers of the lenses used for correcting the myopia in the left eye and hypermetropia in the right eye, we can follow these steps:

### Step 1: Understand the Conditions
- **Left Eye (Myopia)**: The far point has shifted to 1.5 meters. This means that without correction, the person can only see objects clearly up to 1.5 meters.
- **Right Eye (Hypermetropia)**: The near point has shifted to 0.50 meters. This means that without correction, the person cannot see objects clearly closer than 0.50 meters.

### Step 2: Calculate the Focal Length for the Left Eye
For myopia, we want to correct the vision such that the far point (1.5 m) is brought to infinity (the object at infinity).
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