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Question

Consider the following for the next two items that follow:
A hall is of length l, breadth b and height h. The maximum distance between any two points (say P and Q) inside the hall is 14 m, whereas the maximum distance between two points (say P and R) on the floor is 6√5 m
 

If α is the angle between the line joining P and Q, and the line joining P and R, then what is cos α equal to?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

3√5/7

Using the given information and trigonometric relations, cos α is found to be 3√5/7. Therefore, the correct answer is (b).

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