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NEET UG PHYSICS MCQ: MOTION IN PLANE

1 Hard
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Application +4 | -1
At what angle must the two forces (x+y)(x+y) and (x−y)(x-y) act, so that the resultant may be x2+y2\sqrt{x^2+y^2} ?
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Correct option: A
cos⁡−1[−x2+y22(x2−y2)]\cos ^{-1}\left[-\frac{x^2+y^2}{2\left(x^2-y^2\right)}\right]
Option A (cos⁡−1[−x2+y22(x2−y2)]\cos ^{-1}\left[-\frac{x^2+y^2}{2\left(x^2-y^2\right)}\right]) is correct because it is derived from the law of cosines, solving for the angle between the two forces.

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