If 2 & -4 9 & d-3 =4 then d= - Vidyadip

MCQ

If $\displaystyle \begin{vmatrix} 2 &\text{amp;} -4 \\ 9 &\text{amp; d}-3 \end{vmatrix}=4$ then $\text{d}=$

A
$10$
B
$−11$
C
$12$
✓
$−13$

✓

Answer

Correct option: D.

$−13$

Given, determinant of the matrix $ \displaystyle \begin{vmatrix} 2 &\text{amp;} -4 \\ 9 &\text{amp; d}-3 \end{vmatrix}=4$
$\Rightarrow2(\text{d}−3)−(9)(−4)=4$
$\Rightarrow2\text{d}-6+36 = 4$
$\Rightarrow 2\text{d}=-26$
$\Rightarrow\text{d} = -13$

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