CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The value of deteminant ∣ ∣a+babaa+ccbcb+c∣ ∣ is equal to

A
4abc
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
abc
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
a2b2c2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
4a2bc
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 4abc
∣ ∣a+babaa+ccbcb+c∣ ∣
R1=R1+R2+R3
=∣ ∣2(a+b)2(a+c)2(b+c)aa+ccbcb+c∣ ∣
=2∣ ∣(a+b)(a+c)(b+c)aa+ccbcb+c∣ ∣
R2R2R1 and R3R3R1
=2∣ ∣a+ba+cb+cb0baa0∣ ∣
=2∣ ∣a+ba+cb+cb0baa0∣ ∣
=2ab∣ ∣a+ba+cb+c101110∣ ∣
C2C2C1
=2ab∣ ∣a+bcbb+c111100∣ ∣
=2ab[cb+b+c]
=4abc

flag
Suggest Corrections
thumbs-up
0
mid-banner-image
mid-banner-image
Join BYJU'S Learning Program
Select...
Join BYJU'S Learning Program
Select...