Filters

Q&A - Ask Doubts and Get Answers
Q

Find equation of line joining (1, 2) and (3, 6) using determinants.

Q : 4       (i)  Find equation of line joining $\small (1,2)$ and $\small (3,6)$ using determinants.

Views

As we know the line joining $\small (1,2)$ ,$\small (3,6)$  and let say a point on line $A\left ( x,y \right )$ will be collinear.

Therefore area formed by them will be equal to zero.

$\triangle = \frac{1}{2}\begin{vmatrix} 1 &2 &1 \\ 3& 6 &1 \\ x & y &1 \end{vmatrix} = 0$

So, we have:

$=1(6-y)-2(3-x)+1(3y-6x) = 0$

or $6-y-6+2x+3y-6x = 0 \Rightarrow 2y-4x=0$

Hence, we have the equation of line $\Rightarrow y=2x$.

Exams
Articles
Questions