Q. 274.8( 4 Votes )

The determinant equals
A. abc (b–c) (c – a) (a – b)

B. (b–c) (c – a) (a – b)

C. (a + b + c) (b – c) (c – a) (a – b)

D. None of these

Answer :

We have,


Taking (b – a) common from C1 and C3, we get



Applying C1 C1 – C3, we get



If any two columns (or rows) of a determinant are identical (all corresponding elements are same), then the value of determinant is zero.


Here, C1 and C2 are identical.



Hence, the correct option is (d).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Determining a determinant63 mins
Interactive Quiz on Properties of Determinants43 mins
Lecture on Product of Determinants58 mins
Types of Matrices & Properties51 mins
Determinants of Matrices of different order59 mins
Triangular Matrices & operations on matrices58 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses