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.
\[
\boxed{\text{concave mirror}}
\]
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.