If p and \[p'\]be the distances of origin from the lines \[x\sec \alpha +y\text{cosec }\alpha =k\] and \[x\cos \alpha -y\sin \alpha =k\cos 2\alpha \], then \[4{{p}^{2}}+{{{p}'}^{2}}\]=

• A.            k     
• B.            \[2k\]
• C.            \[{{k}^{2}}\]                         
• D.            \[2{{k}^{2}}\]