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Matrices and Determinants question

2020 · 5 Sep · Shift 2 · Q23
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  5. /2020 · 5 Sep · Shift 2 · Q23

Matrices and Determinants question

2020 · 5 Sep · Shift 2 · Q23

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If a + x = b + y = c + z + 1, where a, b, c, x, y, z are non-zero distinct real numbers, then ∣xa+yx+ayb+yy+bzc+yz+c∣\left| {\begin{matrix} x & {a + y} & {x + a} \\ y & {b + y} & {y + b} \\ z & {c + y} & {z + c} \\ \end{matrix} } \right|​xyz​a+yb+yc+y​x+ay+bz+c​​ is equal to :
  1. A
    y(b – a)
  2. B
    y(a – b)
  3. C
    y(a – c)
  4. D
    0
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