Consider the lines given by

MATHEMATICS · Subjective · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

Consider the lines given by L1:x+3y−5=0L_1: x + 3y - 5 = 0 , L2:3x−ky−1=0L_2: 3x - ky - 1 = 0 and L3:5x+2y−12=0L_3: 5x + 2y - 12 = 0 . Match the statement of Column I with values of Column II.
Column IColumn II
(A) L1,L2L_1, L_2 and L3L_3 are concurrent, if(p) k=−9,−65,5k = -9, -\frac{6}{5}, 5
(B) One of L1,L2L_1, L_2 and L3L_3 is parallel to atleast one of the other two, if(q) k=−65,−9k = -\frac{6}{5}, -9
(C) L1,L2L_1, L_2 and L3L_3 form a triangle, if(r) k=56k = \frac{5}{6}
(D) L1,L2L_1, L_2 and L3L_3 do not form a triangle, if(s) k=5k = 5; (t) k=0k = 0

Related theory

Browse the problem library