The value of … is :

Option A. Given, … = …\left| {\matrix{ {(a + 1)(a + 2)} & {a + 2} & 1 \cr {(a + 2)(a + 3)} & {a + 3} & 1 \cr {(a + 3)(a + 4)} & {a + 4} & 1 \cr

Matrices and Determinants

JEE Main 2021 · 26 Feb, Morning shift · Q4463

MathematicsMedium244×since 2002Q4463

The value of

\left| {\matrix{ {(a + 1)(a + 2)} & {a + 2} & 1 \cr {(a + 2)(a + 3)} & {a + 3} & 1 \cr {(a + 3)(a + 4)} & {a + 4} & 1 \cr } } \right|

is :

JEE Main 2021 · 26 Feb, Morning shift · Q4463

MathematicsMedium244×since 2002Q4463

The value of

\left| {\matrix{ {(a + 1)(a + 2)} & {a + 2} & 1 \cr {(a + 2)(a + 3)} & {a + 3} & 1 \cr {(a + 3)(a + 4)} & {a + 4} & 1 \cr } } \right|

is :