If the resultant torque of all the forces acting on a body is zero about a point, is it necessary that it will be zero about any other point?

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Solution

$No, it is not necessary that the torque about any other point be zero if it is zero about one point .$
$Let \vec{F} be the resultant force due to all the forces acting on the plane of the body . Therefore, torque due to force \vec{F} at any point will be the resultant torque . Now, we see that the torque due to \vec{F} at point Q will be zero because Q lies on the line of support of the force F but the torque due to force \vec{F} will not be zero along the point P .$

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