Which of the following systems has only a trivial solution? Option 1: 4x - 2y + 9z + 2 = 0, 3x + 4y + z - 5 = 0, x - 3y + 2z - 8 = 0 Option 2: x + y - z = 0, x - 2y + z = 0, 3x + 6y - 5z = 0 Option 3: x + y + z = 0, 4x + 2y + z = 0, 9x + 3y + z = 0 Option 4: 2x - 3y - z = 0, x + 3y - 2z = 0, x - 3y = 0

The answer is 'x + y + z = 0, 4x + 2y + z = 0, 9x + 3y + z = 0'. View full solution:

CUET Mathematics - Which of the following systems has only a trivial solution? | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Algebra

Medium

applied

$4x - 2y + 9z + 2 = 0$ ,

$3x + 4y + z - 5 = 0$ ,

$x - 3y + 2z - 8 = 0$

$x + y - z = 0$ ,

$x - 2y + z = 0$ ,

$3x + 6y - 5z = 0$

$x + y + z = 0$ ,

$4x + 2y + z = 0$ ,

$9x + 3y + z = 0$

$2x - 3y - z = 0$ ,

$x + 3y - 2z = 0$ ,

$x - 3y = 0$

✅ Correct Option: 3