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Determinants — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDeterminants1 Mark
MCQ
What is the value of $a + b + c + d\ ?$
  • A
    $62$
  • ✓
    $63$
  • C
    $65$
  • D
    $68$
✓

Answer

Correct option: B.
$63$
$\text{ax}^3+\text{bx}^2+\text{cx}+\text{d}=\begin{bmatrix}\text{x}+1&\text{amp;}2\text{x}&\text{amp; 3}\text{x}\\2\text{x}+3&\text{amp;}\text{x+1}&\text{amp;}\text{x}\\2-\text{x}&\text{amp;}3\text{x}+4&\text{amp;}5\text{x}-1\end{bmatrix}$ if
$\text{x}=1\text{a}+\text{b}+\text{c}+\text{d}=\begin{bmatrix}2&\text{amp;}2&\text{amp;3}\\5&\text{amp;}2&\text{amp;1}\\1&\text{amp;}7&\text{amp;4} \end{bmatrix}$
$\text{a}+\text{b}+\text{c}+\text{d}=2-38+99=101-38=63$

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