The equations of the sides of a triangle are | vedclass

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

Question

(D) Let the sides be $L_1: x - 3y = 0$,$L_2: 4x + 3y = 5$,and $L_3: 3x + y = 0$. Check the slopes of the lines: Slope of $L_1$ is $m_1 = 1/3$. Slope o

Vedclass · Accepted Answer

The orthocentre of the triangle

Vedclass · Answer

(D) Let the sides be $L_1: x - 3y = 0$,$L_2: 4x + 3y = 5$,and $L_3: 3x + y = 0$. Check the slopes of the lines: Slope of $L_1$ is $m_1 = 1/3$. Slope of $L_3$ is $m_3 = -3$. Since $m_1 	imes m_3 = (1/3) 	imes (-3) = -1$,the lines $L_1$ and $L_3$ are perpendicular. In a right-angled triangle,the orthocentre is the vertex where the right angle is formed. The intersection of $L_1$ and $L_3$ is $(0, 0)$. Thus,the orthocentre is $(0, 0)$. Now,check if the line $3x - 4y = 0$ passes through $(0, 0)$: $3(0) - 4(0) = 0 - 0 = 0$. Since the point $(0, 0)$ satisfies the equation,the line passes through the orthocentre.

The equations of the sides of a triangle are $x - 3y = 0$,$4x + 3y = 5$,and $3x + y = 0$. The line $3x - 4y = 0$ passes through:

Similar Questions

The lines $x+y+4=0$,$x-2y-4=0$,and $3x+4y-2=0$:

The area (in square units) of the triangle formed by the lines $x=0, y=0$ and $3x+4y=12$ is:

The four points whose coordinates are $(2, 1), (1, 4), (4, 5), (5, 2)$ form:

The area (in square units) of the triangle formed by the lines $x=0, y=0$ and $3x+4y=12$ is

Which one of the following statements is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module