Let α, β, γ be three real numbers and A=1cos⁡(β−α)cos⁡(γ−α)cos⁡(α−β)1cos⁡(γ−β)cos⁡(α−γ)cos⁡(β−γ)1 then

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

Ais singular

Ais non-singular

Ais orthogonal

none of these

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

|A|=1cos⁡(β−α)cos⁡(γ−α)cos⁡(α−β)1cos⁡(γ−β)cos⁡(α−γ)cos⁡(β−γ)1=cos⁡αsin⁡α0cos⁡βsin⁡β0cos⁡γcos⁡γ0cos⁡αsin⁡α0cos⁡βsin⁡β0cos⁡γsin⁡γ0=0⇒ A is singular.