Let a, b, c ∈ R be all non-zero and... | Matrices

JEE MAIN 2020

02-09-2020 S2

Question

Let $a, b, c \in R$ be all non-zero and satisfy $a^3+b^3+c^3=2$. If the matrix $$ A=\left(\begin{array}{lll} a & b & c \\ b & c & a \\ c & a & b \end{array}\right) $$ satisfies $\mathrm{A}^{\top} \mathrm{A}=\mathrm{I}$, then a value of abc can be :

Select the correct option:

$\frac{1}{3}$

$-\frac{1}{3}$

$\frac{2}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

Start Preparing for JEE with Competishun

Report Issue