If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then | x a + y x + a y b + y y + b z c + y z + c | is equal to:

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 5 Sep, Evening shift · Q4461

JEE Main 20205 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then

\left| {\matrix{ x & {a + y} & {x + a} \cr y & {b + y} & {y + b} \cr z & {c + y} & {z + c} \cr } } \right|

is equal to :

JEE Main 2020 · 5 Sep, Evening shift · Q4461

JEE Main 20205 Sep, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then

\left| {\matrix{ x & {a + y} & {x + a} \cr y & {b + y} & {y + b} \cr z & {c + y} & {z + c} \cr } } \right|

is equal to :