CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
191
You visited us 191 times! Enjoying our articles? Unlock Full Access!
Question

Consider the lines given by
L1:x+3y5=0
L2:3xky1=0
L3:5x+2y12=0

Match 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


A

(a) (s), (b) (p, q), (c) (r), (d) (p, q, s)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

(a) (p), (b) (p, q, s), (c) (r), (d) (p, q)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

(a) (s), (b) (p, q, s), (c) (s, r), (d) (p, q, s)

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

(a) (s), (b) (p, q), (c) (r), (d) (p, q, s)


(a) (s), (b) (p,q), (c) (r), (d) (p,q,s)
(a) L1 and L3 intersect at (1,2) and it will lie on L2 if k = 5
(b) Condition of parallelism gives
31=k3=15k=9(b)(p)
Also 35=k2=112 k = 65 (b) (p) (b) (p, q)

(c) If k5,9,65 i.e., (a) and (b) i.e., k = 5, -9 -6/5, they will not form a triangle.
(d) (r)

(d) Exclude the cases of (a) and (b) i.e., k=5, -9, -6/5, they will not form a triangle.
(d) (p, q, s)


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Now This Is Critical
HISTORY
Watch in App
Join BYJU'S Learning Program
CrossIcon