Two forces are such that the sum of their magnitudes is 18 N and their resultant which has magnitude 12 N, is perpendicular to the smaller force. Then, the magnitudes of the forces are
(a) 12 N,6 N
(b) 13 N,5 N
(c) 10 N,8 N
(d) 16 N, 2N
Correct option (b) 13 N,5 N Explanation: The sum of the two forces
A + B = 18 ....(i)
Solving B - A = 8
B + A = 18
We have, B = 13 N, A = 5 N
