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The greatest & the least magnitude of th...

The greatest & the least magnitude of the resultant of two forces of constant magnitudes are P & Q respectively. If the forces act at an angle `2 alpha`, then prove that the magnitude of their resultant is given by `sqrt(P^(2) cos^(2) alpha+Q^(2) sin^(2) alpha)`.

A

`sqrt""(F^(2) cos^(2) alpha + G^(2) sin^(2) alpha)`

B

`sqrt""(F^(2 ) sin^(2) alpha + G^(2) cos^(2) alpha)`

C

`sqrt""(F^(2) + G^(2))`

D

`sqrt""(F^(2)-G^(2))`

Text Solution

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The correct Answer is:
A
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