Consider the lines given by L1:x+3y−5=0L2:3x−ky−1=0L3:5x+2y−12=0Match the Statements/Exp[ressions in Column I with the Statements/Expressions in Column II.Column IColumn IIL1,L2,L3 are concurrent, ifk = -9One of L1,L2,L3 is parallel to at least one of the other two, ifk=65L1,L2,L3 form a triangle, ifk=56L1,L2,L3do not form a triangle, ifk = 5

Consider the lines given by L1:x+3y−5=0L2:3x−ky−1=0L3:5x+2y−12

1.	Consider the lines given by L1:x+3y−5=0L2:3x−ky−1=0L3:5x+2y−12=0Match the Statements/Exp[ressions in Column I with the Statements/Expressions in Column II.Column IColumn IIL1,L2,L3 are concurrent, ifk = -9One of L1,L2,L3 is parallel to at least one of the other two, ifk=65L1,L2,L3 form a triangle, ifk=56L1,L2,L3do not form a triangle, ifk = 5
Answer» Consider the lines given by $L_{1} : x + 3 y - 5 = 0$ $L_{2} : 3 x - k y - 1 = 0$ $L_{3} : 5 x + 2 y - 12 = 0$ Match the Statements/Exp[ressions in Column I with the Statements/Expressions in Column II. $\begin{matrix} Column I & Column II L_{1}, L_{2}, L_{3} are concurrent, if & k = -9 One of L_{1}, L_{2}, L_{3} is parallel to at least one of the other two, if & k = \frac{6}{5} L_{1}, L_{2}, L_{3} form a triangle, if & k = \frac{5}{6} L_{1}, L_{2}, L_{3} do not form a triangle, if & k = 5 \end{matrix}$