The total number of matrices 02 1 A2 1 2 1 y x y x y æ ö = – ç ÷ ç ÷ è ø – , (x, y Î R, x ¹ y) for which ATA = 3I3 is:

Question:

The total number of matrices $\mathrm{A}=\left(\begin{array}{ccc}0 & 2 y & 1 \\ 2 x & y & -1 \\ 2 x & -y & 1\end{array}\right),(x, y \in$ $R, x \neq y$ ) for which $A^{T} A=3 I_{3}$ is:

1. 2

2. 3

3. 6

4. 4

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year April 09, 2019(II)

Solution:

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