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Verified Answer :

Correct answer is C.

\(-x+2y=10 \\2y=x+10 \\y= \frac{1}{2} x+5 \\m_1= \frac{1}{2} \\ \\6y=-12x+1 \\y=-2x+ \frac{1}{6} \\m_2=-2 \\ \\m_1 \times m_2=\frac{1}{2} (-2)=-1 \Rightarrow \text{Lines are perpendicular}\)

Therefore, lines are intersecting.