A triangle is formed by the straight lines: $x + 2 y - 3 = 0, 3 x - 2 y + 7 = 0$ and $y + 1 = 0$ .
Find graphically, the co-ordinates of the vertices of the triangle.

(- 1, 2), (5, - 1), (- 3, - 1)

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(- 1, 2), (7, 4), (- 3, - 1)

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(7, - 4), (5, - 1), (- 3, - 1)

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(- 12, 5), (5, - 1), (- 3, - 1)

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Solution

The correct option is A $(- 1, 2), (5, - 1), (- 3, - 1)$
Plotting the equation $x + 2 y = 0$ , $3 x - 2 y + 7 = 0$ and $y + 1 = 0.$ in the graph we get,the vertices of the triangle are $(- 1, 2), (5, - 1)$ and $(- 3, - 1)$

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Similar questions

Solve each of the following given systems of equations graphically and find the vertices and area of the triangle formed by these lines and the x-axis:

$x - y + 1 = 0, 3 x + 2 y - 12 = 0.$

Q. Solve graphically the following system of equations

x - y + 1 = 0

and

3 x + 2 y - 12 = 0

. Determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis and shade the triangular region.

Q. The area of triangle formed by the lines x + y - 3 = 0, x - 3y + 9 = 0 and 3x - 2y + 1 = 0 is

Q. The sides of a triangle are given by the equation

y - 2 = 0, y + 1 = 3 (x - 2)

x + 2 y = 0

. Find graphically the area of triangle.

Q. Find the area of the triangle formed by the straight lines whose equations are

2 y + x - 5 = 0, y + 2 x - 7 = 0

, and

x - y + 1 = 0

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A triangle is formed by the straight lines: x+2y−3=0,3x−2y+7=0 and y+1=0. Find graphically, the co-ordinates of the vertices of the triangle.

The correct option is A (−1,2),(5,−1),(−3,−1)Plotting the equation x+2y=0,3x−2y+7=0 andy+1=0. in the graph we get,the vertices of the triangle are (−1,2),(5,−1) and (−3,−1)

A triangle is formed by the straight lines: $x + 2 y - 3 = 0, 3 x - 2 y + 7 = 0$ and $y + 1 = 0$ .
Find graphically, the co-ordinates of the vertices of the triangle.

The correct option is A $(- 1, 2), (5, - 1), (- 3, - 1)$
Plotting the equation $x + 2 y = 0$ , $3 x - 2 y + 7 = 0$ and $y + 1 = 0.$ in the graph we get,the vertices of the triangle are $(- 1, 2), (5, - 1)$ and $(- 3, - 1)$