Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Two villages A and B are on the same side of a straight river. A pump set is to be installed by the river side at a point P. Then if the villages are situated at a distance c then
A
Minimum value of PA + PB is 
B
Minimum value of PA + PB is 
C
Minimum value of PA + PB is 
D
The required location must lie on the imaginary line joining village A and image of village B in the river.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b,d)
Take river as x axis, line joining origin and village A as x axis
k 2 = c 2 – (b – a) 2
image of A in the river, this is A' and BA' must be minimum value of PA + PB
BA' = 
= 
= 
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