A force \[\overrightarrow{F}=-K(y\hat{i}+x\hat{j})\] (where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the forces \[\overrightarrow{F}\] on the particle is [IIT-JEE 1998]

A force \[\overrightarrow{F}=-K(y\hat{i}+x\hat{j})\] (where K is a pos

1.	A force \[\overrightarrow{F}=-K(y\hat{i}+x\hat{j})\] (where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x- axis to the point (a, 0) and then parallel to the y-axis to the point (a, a). The total work done by the forces \[\overrightarrow{F}\] on the particle is [IIT-JEE 1998]
A.	\[-2\,K{{a}^{2}}\]
B.	\[2\,K{{a}^{2}}\]
C.	\[{{927}^{o}}C\]
D.	\[K{{a}^{2}}\]
Answer» D. \[K{{a}^{2}}\]

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