Find the value of the following determinant: -4 7 & -6 35 5 &… - Vidyadip

MCQ

Find the value of the following determinant$:\ \begin{vmatrix}\displaystyle \frac{-4}{7} &\text{amp; } \displaystyle \frac{-6}{35}\\ 5 &\text{amp; } \displaystyle \frac{-2}{5}\end{vmatrix}$

A
$\displaystyle \frac{15}{34}$
B
$\displaystyle \frac{32}{45}$
C
$\displaystyle \frac{25}{33}$
✓
$\displaystyle \frac{38}{35}$

✓

Answer

Correct option: D.

$\displaystyle \frac{38}{35}$

The value of $\begin{vmatrix}\displaystyle \frac{-4}{7} \text{amp; } \displaystyle \frac{-6}{35}5\ \text{amp; } \displaystyle \frac{-2}{5}\end{vmatrix}$ is $\bigg(\frac{-4}{7}\times\frac{-2}{5}\bigg)-\bigg(\frac{-4}{7}\times5\bigg)$
$=\frac{8}{25}+\frac{30}{35}=\frac{38}{35}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Determinants→Determinants — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The binary operation $\times$ defind on set $R,$ given by $\text{a}\times\text{b}=\frac{\text{a}+\text{b}}{2}$ for all $a, b \in R$ is:

The function $f(x) = e|x|$ is:

Let $A =\left[\begin{array}{ll} a & b \\ c & d \end{array}\right]$ and $B =\left[\begin{array}{l}\alpha \\ \beta\end{array}\right] \neq\left[\begin{array}{l}0 \\ 0\end{array}\right]$ such that
$AB = B$ and $a + d =2021,$ then the value of $ad - bc$ is equal to ...... .

The number of arbitrary constants in the particular solution of a differential equation of second order is (are)

If the function $f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}
{\frac{{\sqrt {2 + \cos \,x} - 1}}{{\left( {\pi - {x^2}} \right)}},}&{x \ne \pi } \\
{k\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,}&{x = \pi }
\end{array}} \right.$ is continuous at $x\, =\pi $ , then $k$ equals

If $y = {\sin ^2}\alpha + {\cos ^2}(\alpha + \beta ) + 2\sin \alpha \sin \beta \cos (\alpha + \beta )$, then ${{{d^3}y} \over {d{\alpha ^3}}}$ is, (keeping $\beta $ as constant)

If $B$ is a non$-$singular matrix and $A$ is a square matrix, then $\text{det} (B^{-1} AB)$ is equal to:

Choose the correct answer The maximum value of $[\text{x(x}-1)+1]^\frac{1}{3},0\leq\text{x}\leq1]\text{is:}$

If $2x + 3y - 5z = 7, \,x + y + z = 6$, $3x - 4y + 2z = 1,$ then $x =$

Define a function $f: R \rightarrow R$ by $f(x)=\max$ $\{|x|,|x-1|, \ldots,|x-2 n|\}$, where $n$ is a fixed natural number. Then, $\int \limits_0^{2 n} f(x) d x$ is