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Matrices and Determinants question

2002 · Shift 0 · Q78

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PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2002 · Shift 0 · Q78

Matrices and Determinants question

2002 · Shift 0 · Q78

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

a\gt 0

and discriminant of

\,a{x^2} + 2bx + c

is

-ve

, then

\left| {\begin{matrix} a & b & {ax + b} \\ b & c & {bx + c} \\ {ax + b} & {bx + c} & 0 \\ \end{matrix} } \right|

is equal to

A
$+ve$
B
$\left( {ac - {b^2}} \right)\left( {a{x^2} + 2bx + c} \right)$
C
$-ve$
D
$0$

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