Answer
Particle D must be placed in quadrant II close to the positive y axis.
Work Step by Step
The gravitational force on particle A due to particle B is directed in the negative y direction.
The gravitational force on particle A due to particle C is directed in the positive x direction.
Particle D must be placed in a location such that the x-component of the gravitational force on particle A due to particle D is in the negative x direction, and the y-component of the gravitational force on particle A due to particle D is in the positive y direction.
Therefore, particle D must be placed in quadrant II
Since the mass of B is greater than the mass of C, the gravitational force on particle A due to particle D must have a greater magnitude in the positive y direction than in the negative x direction.
Therefore, particle D must be placed in quadrant II close to the positive y axis.
