Download App

Determinants — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDeterminants2 Marks
Question
Find the value of x, if:
$\begin{vmatrix}2&4\\5&1\end{vmatrix}=\begin{vmatrix}2\text{x}&4\\6&\text{x}\end{vmatrix}$
✓

Answer

Given, $\begin{vmatrix}2&4\\5&1\end{vmatrix}=\begin{vmatrix}2\text{x}&4\\6&\text{x}\end{vmatrix}$
$\Rightarrow2-20=2\text{x}^2-24$
$\Rightarrow-18=2\text{x}^2-24$
$\Rightarrow2\text{x}=6$
$\Rightarrow\text{x}^2=3$
$\Rightarrow\text{x}=\pm\sqrt{3}$

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 "Solve the Following Question.(2 Marks)" from Determinants→Determinants — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Using truth table verify that $\sim(p \vee q) \equiv \sim p \wedge \sim q$
→
Find k if, slopes of lines represent by $3 x^2+k x y-y^2=0$ differ by 4 .
→
Differentiate the following w. r. t. x.$\cos ^{-1}\left(\frac{2^x-2^{-x}}{2^x+2^{-x}}\right)$
→
Evaluate the following:
$\sin^{-1}\Big(\sin\frac{13\pi}{7}\Big)$
→
Find the feasible solution of the following inequation:
$3x + 2y \leq 18, 2x + y \leq 10, x \geq 0, y \geq 0$
→
What happens to a function f(x) at x = a, if $\lim\limits_{{\text{x}}\rightarrow\text{a}}\text{f(x})=\text{f}(\text{a})?$
→
Evaluate: $\int_0^{\frac{\pi}{2}} \sin ^2 x d x$
→
Find the of the polar co-ordinates point whose Cartesian co-ordinates are. :

$(1,-\sqrt{3})$

→
Find $\big|\vec{\text{a}}-\vec{\text{b}}\big|$ if
$|\vec{\text{a}}|=2,\big|\vec{\text{b}}\big|=5$ and $\vec{\text{a}}.\vec{\text{b}}=8$
→
A discrete random variable X has the probability distribution given below:
X: 0.5 1 1.5 2
P(X): $k$ $k^2$ $2k^2$ $k$
Determine the mean of the distribution.
→