If vmatrix1 & 1 & 1\\ c & b-x & a\\ b & a & c-xvmatrix=0, then x is equal to Option 1: ±2sqrt((a-b)^2+(b-c)^2+(c-a)^2) Option 2: ±1/2sqrt((a-b)^2+(b-c)^2+(c-a)^2) Option 3: ±sqrt((a-b)^2+(b-c)^2+(c-a)^2) Option 4: ±sqrt(a^2+b^2+c^2)

The answer is '±1/2sqrt((a-b)^2+(b-c)^2+(c-a)^2)'. View full solution:

CUET Mathematics - If vmatrix1 & 1 & 1\\ c & b-x & a\\ b & a & c-xvmatrix=0, then x is equal to | PYQs + Solutions

CUET Mathematics 2026 12th May Shift 2

Algebra

Hard

core

$\pm\sqrt2\sqrt{(a-b)^2+(b-c)^2+(c-a)^2}$

$\pm\dfrac{1}{\sqrt2}\sqrt{(a-b)^2+(b-c)^2+(c-a)^2}$

$\pm\sqrt{(a-b)^2+(b-c)^2+(c-a)^2}$

$\pm\sqrt{a^2+b^2+c^2}$

✅ Correct Option: 2