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

the value of the Determinant ∣∣ ∣ ∣ ∣ ∣∣loga(xy)loga(yz)loga(zx)logb(yz)logb(zx)logb(xy)logc(zx)logc(xy)logc(yz)∣∣ ∣ ∣ ∣ ∣∣ is equal to

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
logzxyz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of these
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D None of these
∣ ∣ ∣ ∣ ∣ ∣ ∣loga(xy)loga(yz)loga(zx)logb(yz)logb(zx)logb(xy)logc(zx)logc(xy)logc(yz)∣ ∣ ∣ ∣ ∣ ∣ ∣

Apply C1=C1+C2+C3

∣ ∣ ∣ ∣ ∣ ∣0loga(yz)loga(zx)0logb(zx)logb(xy)0logc(xy)logc(yz)∣ ∣ ∣ ∣ ∣ ∣

because C1+C2+C3 will give three terms
logx,logy,logz and three terms =logx,logy,logz
which will get cancelled
D is correct.

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