Step 1: Understanding the image formation
A concave mirror can form a virtual, erect, and magnified image when the object is placed between the focus and the mirror. In such a case, the image appears larger (longer) than the object and is virtual and erect.
Step 2: Behavior of other mirrors
- A convex mirror always forms a diminished, virtual, and erect image, so it cannot satisfy the conditions of the problem.
- A plane mirror forms a virtual and erect image of the same size as the object.
Step 3: Conclusion
The only mirror that satisfies the conditions of forming a virtual, erect, and magnified image is the concave mirror.
\[
\boxed{\text{concave mirror}}
\]
The following table shows the ages of the patients admitted in a hospital during a year. Find the mode and the median of these data.
\[\begin{array}{|c|c|c|c|c|c|c|} \hline Age (in years) & 5-15 & 15-25 & 25-35 & 35-45 & 45-55 & 55-65 \\ \hline \text{Number of patients} & \text{6} & \text{11} & \text{21} & \text{23} & \text{14} & \text{5} \\ \hline \end{array}\]