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At what angle must the two forces (x + y) and (x $-$ y) act, so that the resultant may be $\sqrt{x^{2} + y^{2}} ?$

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cos-1-x2+y22x2-y2

cos-1--2x2-y2x2+y2

cos-1-x2+y2x2-y2

cos-1-x2-y2x2+y2

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detailed solution

Correct option is A

Let the two forces be A and B.Resultant, R2=A2+B2+2ABcosθ …(i)Substituting, A=(x+y), B=(x-y)and R=x2+y2On substituting these values in Eq. (i), we getθ=cos-1-x2+y22x2-y2

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

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At what angle must the two forces (x + y) and (x $-$ y) act, so that the resultant may be $\sqrt{x^{2} + y^{2}} ?$