Step 1: Understanding the problem
In a concave mirror, the image formed can be real, virtual, inverted, or upright, depending on the position of the object. The size of the image also changes based on the object's distance from the mirror.
Step 2: Analyzing the question
The question mentions that the image formed is real and of the same size as the object. This condition occurs when the object is placed at the centre of curvature of the concave mirror.
Step 3: Why the other options are incorrect
- (A) At the focus of the mirror: When the object is at the focus of the mirror, the image formed is real, inverted, and magnified, not of the same size.
- (B) In between the centre of curvature and focus of the mirror: When the object is placed between the focus and the centre of curvature, the image formed is real, inverted, and magnified.
- (D) In between the centre of curvature and infinity: The image formed is real and reduced, not of the same size.
Thus, the correct answer is option (C) at the centre of curvature of the 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.