wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

If the system of linear equations
2x+2ay+az=02x+3by+bz=02x+4cy+cz=0,

where a,b,cR are non-zero and distinct; has non-zero solution, then

A
a+b+c=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
a,b,c are in A.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1a,1b,1c are in A.P.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
a,b,c are in G.P.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1a,1b,1c are in A.P.
∣ ∣22aa23bb24cc∣ ∣=0

R2R2R1,R3R1∣ ∣22aa03b2aba04c2aca∣ ∣=0

3bc2ac3ab+2a2[4bc4ac2ab+2a2]=0bc+2acab=0ab+bc=2ac1c+1a=2b
1a,1b,1c are in A.P.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon