Two short managers AB and CD are in the X-Y plane and are parallel to X-axis and coordinate of their centers respectively are (0,2) and (2,0). Line joining the north- south poles of CD is opposite to that of AB and lies along the positive X-axis. The resultant field induction due to AB and CD at a point P(2,2) is $100 \times 10^{-7}\;T$. When the poles of the magnet CD are reversed, the resultant field induction is $50 \times 10^{-7}T$. The value of magnetic moments of AB and CD (in $AM^2$) are :

Question

$$\begin {array} {1 1} (a)\;300:200 & \quad (b)\;600:400 \\ (c)\;200:100 & \quad (d)\;300:150 \end {array}$$