Line \[ax+by+p=0\]makes angle \[\pi /4\] with \[xcos\,\alpha +ysin\,\alpha =p,\text{ }p\in {{R}^{+}}\]. if these lines and the line \[x\text{ }sin\,\alpha -y\text{ }cos\,\alpha =0\] are concurrent, then

Line \[ax+by+p=0\]makes angle \[\pi /4\] with \[xcos\,\alpha +ysin\,\a

1.	Line \[ax+by+p=0\]makes angle \[\pi /4\] with \[xcos\,\alpha +ysin\,\alpha =p,\text{ }p\in {{R}^{+}}\]. if these lines and the line \[x\text{ }sin\,\alpha -y\text{ }cos\,\alpha =0\] are concurrent, then
A.	\[{{a}^{2}}+{{b}^{2}}=1\]
B.	\[{{a}^{2}}+{{b}^{2}}=2\]
C.	\[2({{a}^{2}}+{{b}^{2}})=1\]
D.	none of these
Answer» C. \[2({{a}^{2}}+{{b}^{2}})=1\]

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Line \[ax+by+p=0\]makes angle \[\pi /4\] with \[xcos\,\alpha +ysin\,\alpha =p,\text{ }p\in {{R}^{+}}\]. if these lines and the line \[x\text{ }sin\,\alpha -y\text{ }cos\,\alpha =0\] are concurrent, then

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