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Matrices and Determinants question

2021 · 20 Jul · Shift 1 · Q42
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Matrices and Determinants question

2021 · 20 Jul · Shift 1 · Q42

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
Let a, b, c, d in arithmetic progression with common difference λ\lambdaλ. If ∣x+a−cx+bx+ax−1x+cx+bx−b+dx+dx+c∣=2\left| {\begin{matrix} {x + a - c} & {x + b} & {x + a} \\ {x - 1} & {x + c} & {x + b} \\ {x - b + d} & {x + d} & {x + c} \\ \end{matrix} } \right| = 2​x+a−cx−1x−b+d​x+bx+cx+d​x+ax+bx+c​​=2, then value of λ\lambdaλ 2 is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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