Let a , b , c ∈ R , b  = c , such that b c − 4 a 2 2 a c − b 2 2 ab − c 2 2 a c − b 2 2 ab − c 2 b c − 4 a 2 2 ab − c 2 b c − 4 a 2 2 a c − b 2 = 0 Then, which of the following options is/

Question

Let a , b , c ∈ R , b  = c , such that ​ b c − 4 a 2 2 a c − b 2 2 ab − c 2 ​ 2 a c − b 2 2 ab − c 2 b c − 4 a 2 ​ 2 ab − c 2 b c − 4 a 2 2 a c − b 2 ​ ​ = 0 Then, which of the following options is/ are correct?

TestHub · Accepted Answer

Given determinant ​ 2 a b c ​ b c 2 a ​ c 2 a b ​ ​ = 0 . This implies that 2 a + b + c = 0 .

Mathematics - Determinant Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion

JEE Advanced (2028)