NTA Abhyas JEE Main2020MathematicsDeterminantsPractice
If a , b and c are distinct positive real numbers such that Δ 1 = a b c b c a c a b and Δ 2 = b c - a 2 a c - b 2 a b - c 2 a c - b 2 a b - c 2 b c - a 2 a b - c 2 b c - a 2 a c - b 2 , then
Options
- AΔ 1 = Δ 2
- BΔ 1 2 + Δ 2 = 0
- CΔ 1 2 = Δ 2
- DΔ 1 2 = Δ 2 2
Correct answer
C. Δ 1 2 = Δ 2
Step-by-step solution
Elements of Δ 2 are co-factors of the elements of Δ 1 Hence Δ 1 2 = Δ 2