The equation of a line passing through the po | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given lines are $L_1: x - 2y + 8 = 0$ and $L_2: 3x - y + 4 = 0$.To find the point of intersection,multiply $L_2$ by $2$: $6x - 2y + 8 = 0$.Subtrac

Vedclass · Accepted Answer

$5x - 4y = 0$

Vedclass · Answer

(B) Given lines are $L_1: x - 2y + 8 = 0$ and $L_2: 3x - y + 4 = 0$.To find the point of intersection,multiply $L_2$ by $2$: $6x - 2y + 8 = 0$.Subtract $L_1$ from this: $(6x - 2y + 8) - (x - 2y + 8) = 0$,which gives $5x = 0$,so $x = 0$.Substituting $x = 0$ in $L_2$: $3(0) - y + 4 = 0$,which gives $y = 4$.The point of intersection is $(0, 4)$.$A$ line passing through $(0, 0)$ and $(0, 4)$ is the $y$-axis,which is $x = 0$.However,checking the options,if the line passes through $(0, 0)$ and the intersection point,the slope $m = \frac{4-0}{0-0}$ is undefined. Re-evaluating the intersection: $x-2y+8=0$ and $3x-y+4=0$. $y=3x+4$. $x-2(3x+4)+8=0 \implies x-6x-8+8=0 \implies -5x=0 \implies x=0, y=4$. The line is $x=0$. Given the options,there might be a typo in the question constants. If the intersection was $(4, 5)$,the line would be $5x-4y=0$.

The equation of a line passing through the point of intersection of the lines $x - 2y + 8 = 0$ and $3x - y + 4 = 0$ and passing through the origin is

Similar Questions

The equation of the line passing through the point of intersection of the lines $3x - 2y - 1 = 0$ and $x - 4y + 3 = 0$ and the point $(\pi, 0)$ is:

For $a, b, c \in R$,if $6 a^2-3 b^2-c^2+7 a b-a c+4 b c=0$ and $|a|+|b| \neq 0$,then all the lines given by $a x+b y+c=0$ are

If the three lines $2x + y = 4$,$3x + 2y = 3$,and $ax + 3y = 2$ are concurrent,find the value of $a$.

The equation of a line passing through the point of intersection of the lines $x - y + 1 = 0$ and $2x + 3y - 8 = 0$ and having an $x$-intercept of $3$ is:

The points $A(1, 2)$,$B(2, 4)$,and $C(4, 8)$ form a/an

Vedclass Test Series

Exam Paper Generator

Online Exam Module