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Q.

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

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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)

answer is A.

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Detailed Solution

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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