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

If xϵR and nϵI, then the determinant Δ=∣ ∣ ∣sin(nπ)sinxcosxlog(tanx)cosxsinxcos[(2n+1)π2]log(cotx)log(cotx)log(tanx)tan(nπ)∣ ∣ ∣


A

sin(π4x)

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

tan(π4x)

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

log(tanx)log(cotx)

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

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

0


We can write Δ as

Δ=∣ ∣ ∣0sinxcosxlog(tanx)(sinxcosx)0log(tanx)log(tanx)log(tanx)0∣ ∣ ∣

=(1)3∣ ∣ ∣0(sinxcosx)log(tanx)sinxcosx0log(tanx)log(tanx)log(tanx)0∣ ∣ ∣ [taking 1 common from R1, R2 and R3]

=Δ

2Δ=0Δ=0


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