CUET Mathematics - The set of all values of for which the system of linear equations x + y + z = 1 x + 2y + 4z = x + 4y + 10z = ^2 is consistent, is | PYQs + Solutions

CUET Mathematics 2022 6 Aug Shift 2

Algebra

Hard

$\{1, 2\}$

$\{-1, 2\}$

$\{-1, -2\}$

$\{1, -2\}$

✅ Correct Option: 1

Related questions:

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If $x, y$ and $z$ are non-zero distinct numbers, then $\begin{vmatrix} x+y & y+z & z+x \\ z & x & y \\ 1 & 1 & 1 \end{vmatrix}$ is equal to

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If $A$ is a square matrix of order 3 and $|A| = 5$ , then the value of $|-AA^T|$ is

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Match List-I with List-II

List-I	List-II
(A) A square matrix $P$ is said to be non-singular if	(I) $\vert P\vert = 0$
(B) A square matrix $P$ is said to be singular if	(II) $P P^T$ is symmetric
(C) If a matrix $P$ is both symmetric and skew-symmetric, then	(III) $\vert P\vert \neq 0$
(D) If $P$ is a square matrix, then	(IV) $P$ is a null matrix

Choose the correct answer from the options given below:

CUET Mathematics 2022 6 Aug Shift 2 PYQs