Find values of x, if | ll 2 & 3 4 & 5 |= | cc x & 3 2 x & 5 | - Vidyadip

Question

Find values of x, if $\left|\begin{array}{ll} {2} & {3} \\ {4} & {5} \end{array}\right|=\left|\begin{array}{cc} {x} & {3} \\ {2 x} & {5} \end{array}\right|$

✓

Answer

We know that determinant of A is calculated as $|A|=\left|\begin{array}{ll} {a} & {b} \\ {c} & {d} \end{array}\right|$ = ad - bc
We have $\left|\begin{array}{cc} {2} & {3} \\ {4} & {5} \end{array}\right|=\left|\begin{array}{cc} {x} & {3} \\ {2 x} & {5} \end{array}\right|$
$\Rightarrow$ 2(5) – 3(4) = x(5) – 3(2x)
$\Rightarrow$ 10 – 12 = 5x – 6x
$\Rightarrow$ -2 = -x
$\Rightarrow$ x = 2
The value of x is 2.

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 "1 Marks Question" from Determinants→Determinants — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^2\text{y}}{\text{dx}^2}+3\Big(\frac{\text{dy}}{\text{dx}}\Big)^2=\text{x}^2\log\Big(\frac{\text{d}^2\text{y}}{\text{dx}^2}\Big)$

Evaluate $\int_{4}^{9} \frac{\sqrt{x}}{\left(30-x^{\frac{3}{2}}\right)^{2}} d x$

Discuss the continuity of the function $f,$ where $f$ is defined by $f(x)= 3, \text { if } 0 \leq x \leq 1 4, \text { if } 1$

Evaluate $\int_0^1 \frac{\left(x^2-x\right)}{\sqrt{x}} d x$.

Classify the following as scalar and vector quantities:
Acceleration.

Show that function $f(x)=x^2, x=0$ is continuous.

Let A and B be independent events with P(A) = 0.3 and P(B) = 0.4. Find.
$\text{P}\ (\text{A}\cap\text{B})$

Find the principal value of $\cot ^{-1}(\sqrt{3})$.

Construct a 4 × 3 matrix whose element are:
$\text{a}_\text{ij}=\frac{\text{i}-\text{j}}{\text{i}+\text{j}}$

Show the relation R in the set A = {x $\in$ Z : 0 $\leq$ x $\leq$12}, given by R = {(a, b) : a = b}, is an equivalence relation. Find the set of all elements related to 1 in each case.