Two short magnets \(A B\) and \(C D\) are in the \(X-Y\) plane and are parallel to \(X\)-axis and co-ordinates of their centres respectively are \((0,2)\) and \((2,0)\). Line joining the north-south poles of \(C D\) is opposite to that of \(A B\) and lies along the positive \(X\)-axis. The resultant field induction due to \(A B\) and \(C D\) at a point \(P(2,2)\) is \(100 \times 10^{-7} \mathrm{~T}\). When the poles of the magnet \(C D\) are reversed, the resultant field induction is \(50 \times 10^{-7} \mathrm{~T}\). The value of magnetic moments of \(A B\) and \(C D\) (in \(\mathrm{Am}^2\) ) are :

1. A \(300 ; 200\)
2. B \(600 ; 400\)
3. C \(200 ; 100\)
4. D \(300 ; 150\)