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Straight Lines And Pair Of Straight Lines

IIT-JEE 2008 Paper 2 Offline

MCQ+4 / -12008

Consider the lines given by:


\({L_1}:x + 3y - 5 = 0\)


\({L_2}:3x - ky - 1 = 0\)


\({L_3}:5x + 2y - 12 = 0\)


Match the Statement/Expressions in Column I with the Statements/Expressions in Column II.



.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}
.tg .tg-c3ow{border-color:inherit;text-align:center;vertical-align:top}
.tg .tg-7btt{border-color:inherit;font-weight:bold;text-align:center;vertical-align:top}
.tg .tg-0pky{border-color:inherit;text-align:left;vertical-align:top}










































Column I Column II
(A) L\(_1\), L\(_2\), L\(_3\) are concurrent, if (P) \(K = - 9\)
(B) One of L\(_1\), L\(_2\), L\(_3\) is parallel to atleast one of the other two, if (Q) \(K = - {6 \over 5}\)
(C) L\(_1\), L\(_2\), L\(_3\) form a triangle, if (R) \(K = {5 \over 6}\)
(D) L\(_1\), L\(_2\), L\(_3\) do not form a triangle, if (S) \(K = 5\)

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