JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1

The greatest and least magnitude of the resultant of two forces of constant magnitude are

F

and

G

. When the forces act an angle

2 \alpha

, the resultant in magnitudes is equal to

View answer and explanation

Correct option: A

\sqrt{F^2 \cos ^2 \alpha+G^2 \sin ^2 \alpha}

Option A,

\sqrt{F^2 \cos ^2 \alpha+G^2 \sin ^2 \alpha}

, is correct because it represents the magnitude of the resultant when the forces act at an angle

2 \alpha

, given the greatest and least magnitudes F and G.

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