Download App

Determinants — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDeterminants2 Marks
Question
Without expanding, show that the values of the following determinant are zero:
$\begin{vmatrix}8&2&7\\12&3&5\\16&4&3 \end{vmatrix}$
✓

Answer

$\triangle=\begin{vmatrix}8&2&7\\12&3&5\\16&4&3 \end{vmatrix}$
$\Rightarrow\triangle=\begin{vmatrix}0&2&7\\12&3&5\\16&4&3 \end{vmatrix}$ [Applying $C_1 \rightarrow C_1 - 4C_2$_]
$\Rightarrow\triangle=0$

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

Evaluate the following definite integrals:$\int_{4}\limits^{9}\frac{1}{\sqrt{\text{x}}} \text{ dx}$
→
If $\begin{bmatrix}2\text{x}+1&5\text{x}\\0&\text{y}^2+1\end{bmatrix}=\begin{bmatrix}\text{x}+3&10\\0&26\end{bmatrix},$ find the value of (x + y).
→
A matrix A of order $3 \times 3$ is such that $|A| = 4$. Find the value of |2A|.
→
If $|A|=2$, where $A$ is $2 \times 2$ matrix, find $|\operatorname{adj} A|$.
→
Which of the following functions from $A$ to $B$ are one-one and onto?
$f_3=\{(a, x),(b, x),(c, z),(d, z)\} ; A=\{a, b, c, d,\}, B=\{x, y, z\}$
→
Find the general solution of the equations $\sin x=\tan x$
→
Find $\frac{d y}{d x}$ if
x = sin θ, y = tan θ
→
Write the equation of the plane corntaining the lines $\vec{\text{r}}=\vec{\text{a}}+\lambda\vec{\text{b}}$ and $\vec{\text{r}}=\vec{\text{a}}+\mu\vec{\text{c}}$.
→
In $\triangle \mathrm{ABC}$ if $\sin ^2 \mathrm{~A}+\sin ^2 \mathrm{~B}=\sin ^2 \mathrm{C}$ then prove that the triangle is a right angled triangle.Question is modified

In $\triangle \mathrm{ABC}$ if $\sin ^2 \mathrm{~A}+\sin ^2 B=\sin ^2 \mathrm{C}$ then show that the triangle is a right anqled triangle.

→
By vector method show that the quadrilateral with vertices $A (1,2,-1), B (8,-3,-4), C (5,-4,1), D (-2,1,4)$ is a parallelogram.
→