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Questions  

At which angle must the two forces (x+y) and (x-y) act so that the resultant may be x2+y2

a
cos-1(-x2+y22(x2-y2))
b
cos-1(-2(x2-y2)x2+y2)
c
cos-1(x2+y2x2-y2)
d
cos-1(-x2-y2x2+y2)

detailed solution

Correct option is A

R2= A2+B2+2ABcosθSubstituting,  A = (x+y), B = (x+y) andR =(x2+y2),    we  getθ = cos-1(-(x2+y2)2(x2-y2))

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