NDA2011MathematicsDeterminantsActual
If a⁻¹+b⁻¹+c⁻¹=0 such that | array ccc 1+a & 1 & 1 1 & 1+b & 1 1 & 1 & 1+c array |= , then what is equal to?
Options
- A-a b c
- Ba b c
- C0
- D1
Correct answer
C. 0
Step-by-step solution
We have, 1 a + 1 b + 1 c =0 aligned & | array ccc 1+a & 1 & 1 1 & 1+b & 1 1 & 1 & 1+c array |=a b c ( 1 a + 1 b + 1 c )=0 & =0 . aligned