# If 1 0 0 æ ö a – ç ÷ = ç ÷ è ø A , 1 0 0 æ ö a + ç ÷ = ç ÷ è ø B be two matrices, then ABT is a non-ero matrix for |a| not equal to

Question:

If $A=\left(\begin{array}{c}\alpha-1 \\ 0 \\ 0\end{array}\right), B=\left(\begin{array}{c}\alpha+1 \\ 0 \\ 0\end{array}\right)$ be two matrices, then $A B^{T}$ is a non-zero matrix for $|\alpha|$ not equal to

1. 2

2. 0

3. 1

4. 3

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online May 7, 2012

Solution:

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