If, the resultant of two forces (A$$ $$+$$ $$B) and (A$$ $$-$$ $$B) is $$A2+B2$$, then the angle between these forces is

Correct option is 4cos-1-2A2+B2A2-B2

Questions

If, the resultant of two forces (A + B) and (A - B) is $\sqrt{A^{2} + B^{2}}$ , then the angle between these forces is

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cos-1-A2-B2A2+B2

cos-1-A2+B2A2-B2

cos-1-A2+B22A2-B2

cos-1-2A2+B2A2-B2

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detailed solution

Correct option is D

Here, P=(A+B) Q=(A-B)and R=A2+B2 ⇒ cosθ=R2-P2-Q22PQ =A2+B2-(A+B)2-(A-B)22(A+B)(A-B)=-A2+B22A2-B2 θ=cos-1-A2+B22A2-B2

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If, the resultant of two forces (A + B) and (A - B) is A2+B2, then the angle between these forces is

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If, the resultant of two forces (A + B) and (A - B) is $\sqrt{A^{2} + B^{2}}$ , then the angle between these forces is