wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The system of linear equations
3x2ykz=10
2x4y2z=6
x+2yz=5m
is inconsistent if:

A
k=3,m45
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
k3,mR
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
k3,m45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
k=3,m=45
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A k=3,m45
Δ=∣ ∣32k242121∣ ∣=0
3(4+4)+2(2+2)k(4+4)=0
k=3

Δx=∣ ∣10236425m21∣ ∣0
10(4+4)+2(6+10m)3(12+20m)0
m45

Δy=∣ ∣310326215m1∣ ∣0
3(6+10m)10(2+2)3(10m6)0
0

Δz=∣ ∣3210246125m∣ ∣0
3(20m12)+2(10m6)+10(4+4)0
m45

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