If [ * 20 c 2& - 3 4&0 ] - [ * 20 c a&c &d ] = [ * 20 c 1&4 2& - … - Vidyadip

MCQ

If $\left[ {\begin{array}{*{20}{c}}2&{ - 3}\\4&0\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}a&c\\b&d\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&4\\2&{ - 5}\end{array}} \right]$, then $(a,b,c,d) = $

A
$(1,\,6,\,2,\,5)$
B
$(1, 2, 7, 5)$
✓
$(1, 2, -7, 5)$
D
$(-1, -2, 7, -5)$

✓

Answer

Correct option: C.

$(1, 2, -7, 5)$

c
(c) $\left[ {\begin{array}{*{20}{c}}2&{ - 3}\\4&0\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}a&c\\b&d\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&4\\2&{ - 5}\end{array}} \right]$

==> $\left[ {\begin{array}{*{20}{c}}a&c\\b&d\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}2&{ - 3}\\4&0\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}1&4\\2&{ - 5}\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&{ - 7}\\2&5\end{array}} \right]$

==> $(a,b,c,d) = (1,\,\,2,\,\, - 7,\,\,5)$.

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 STD 12 - 3 and 4 . determinant and metrices→STD 12 - 3 and 4 . determinant and metrices — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Let $f(x) = \left[ {\begin{array}{*{20}{c}}
{g\,(x)\,\,.\,\,\cos \,{\textstyle{1 \over x}}}&{if\,\,\,\,x\,\, \ne \,\,0}\\
{0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}&{if\,\,\,\,x\,\, = \,\,0}
\end{array}} \right. $where $g(x)$ is an even function differentiable at $x = 0$, passing through the origin . Then $f ' (0)$ :

The function $f : R \rightarrow R, f(x) = x^2$ is:

Which one of the following statements is true

If $A = \left[ {\begin{array}{*{20}{c}}1&0&1\\2&1&0\\3&2&1\end{array}} \right],$then $\det A$=

Let $A = \left( {\begin{array}{*{20}{c}}
{\cos \,\alpha }&{ - \sin \,\alpha }\\
{\sin \,\alpha }&{\cos \,\alpha }
\end{array}} \right)$, $\left( {\alpha \in R} \right)$ such that ${A^{32}} = \left( {\begin{array}{*{20}{c}}
0&{ - 1}\\
1&0
\end{array}} \right)$. Then a value of $\alpha $ is

If $f\left( x \right) = \left[ x \right] - \left[ {\frac{x}{4}} \right],\,x \in R$ , where $[x]$ denotes the greatest integer function, then

The slope of tangent at any point $(x, y)$ on a curve $y = y ( x )$ is $\frac{x^2+y^2}{2 x y},x > 0$. If $y(2)=0$, then a value of $y(8)$ is

If order of a matrix is $3 \times 3,$ then it is a?

Let $f:\left[(1, \infty) \rightarrow \mathbb{R}\right.$ be a differentiable function such that $f(1)=\frac{1}{3}$ and $3 \int_1^x f(t) d t=x f(x)-\frac{x^3}{3}, x \in[1, \infty)$.

Let $e$ denote the base of the natural logarithm. Then the value of $\mathrm{f}(e)$ is

vectors $\vec{\text{a}}$ and $\vec{\text{b}}$ are inclined at angle $\theta=120^\circ.$ if $|\vec{\text{a}}|=1,\big|\vec{\text{b}}\big|=2,$ then $\big[\big(\vec{\text{a}}+3\vec{\text{b}}\big)\times\big(3\vec{\text{a}}-\vec{\text{b}}\big)\big]^2$ is equal to: