CUET Mathematics - If the matrix A = bmatrix 0 & 2y & z \\ x & y & -z \\ x & -y & z bmatrix satisfies the equation A^T A = I_3, then x^2 + y^2 + z^2 is : | PYQs + Solutions

CUET Mathematics 2023 30 May Shift 3

Applied Mathematics

Hard

✅ Correct Option: 2

Related questions:

22 May Shift 3

Match List - I with List - II.

	List - I (Matrix)		List - II (Type)
(A)	$\begin{bmatrix} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{bmatrix}$	(I)	Lower Triangular Matrix
(B)	$\begin{bmatrix} 1 & 5 & 0 & -1 \end{bmatrix}$	(II)	Row Matrix
(C)	$\begin{bmatrix} 3 & 0 & 0 \\ 1 & -1 & 0 \\ 2 & 5 & 4 \end{bmatrix}$	(III)	Diagonal Matrix
(D)	$\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{bmatrix}$	(IV)	Scalar Matrix

Choose the correct answer from the options given below :

7 June Shift 1

A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and the second throw of dice and a number less than 4 in the third throw?

11 Aug Shift 1

The area of the triangle with vertices $(1,4), (2,7)$ and $(4,13)$ is :

CUET Mathematics 2023 30 May Shift 3 PYQs

Keyboard Shortcuts