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Straight Lines and Pair of Straight Lines question

2008 · Shift 2 · Q43
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Straight Lines and Pair of Straight Lines question

2008 · Shift 2 · Q43

JEE AdvancedMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

Consider the lines given by:

L1:x+3y−5=0{L_1}:x + 3y - 5 = 0L1​:x+3y−5=0

L2:3x−ky−1=0{L_2}:3x - ky - 1 = 0L2​:3x−ky−1=0

L3:5x+2y−12=0{L_3}:5x + 2y - 12 = 0L3​:5x+2y−12=0

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

Column I Column II
(A) L 1_11​, L 2_22​, L 3_33​ are concurrent, if (P) K=−9K = - 9K=−9
(B) One of L 1_11​, L 2_22​, L 3_33​ is parallel to atleast one of the other two, if (Q) K=−65K = - {6 \over 5}K=−56​
(C) L 1_11​, L 2_22​, L 3_33​ form a triangle, if (R) K=56K = {5 \over 6}K=65​
(D) L 1_11​, L 2_22​, L 3_33​ do not form a triangle, if (S) K=5K = 5K=5

  1. A
    A - iv; B - ii; C - iii; D - i, ii
  2. B
    A - iv; B - i, ii; C - iii; D - i, ii, iv
  3. C
    A - iv; B - i; C - iii; D - i, ii
  4. D
    A - ii; B - i, iii; C - iii; D - i, ii, iv
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