Find graphically the coordinates of the vertices of the triangle formed by the lines y = 0, y = x and 2x + 3y = 10. Hence, find the area of the triangle formed by these lines.

Given, 1st equation : y = 0, 2nd equation : y = x, When, x = 0, y = 0, x = 1, y = 1, x = 2, y = 2. Table of values of equation (2) : x | 0 | 1 | 2 ---- | ---- | ---- | ---- y | 0 | 1 | 2 Steps of construction : 1. Plot the points (0, 0), (1, 1) and (2, 2). 2. Join the points. 3rd equation : ⇒ 2x + 3y = 10 ⇒ 3y = 10 - 2x ⇒ y = ..........(3) When, x = -1, y = = 4, x = 2, y = = 2, x = 5, y = = 0. Table of values of equation (3) : x | -1 | 2 | 5 ---- | ---- | ---- | ---- y | 4 | 2 | 0 Steps of construction : 1. Plot the points (-1, 4), (2, 2) and (5, 0). 2. Join the points. From graph, ABC is the triangle. From A, draw AD perpendicular to x-axis. AD = 2 units and BC = 5 units. Area of triangle = × base × height = = = 5 sq. units. Hence, coordinates of triangle are (0, 0), (5, 0) and (2, 2) and area = 5 sq. units.

Solve graphically the following equations :
x + 2y = 4, 3x - 2y = 4.
Take 2 cm = 1 unit on each axis. Write down the area of the triangle formed by the lines and the x-axis.

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On graph paper, take 2 cm to represent one unit on both axes, draw the lines :
x + 3 = 0, y - 2 = 0, 2x + 3y = 12.
Write down the coordinates of the vertices of the triangle formed by these lines.

Mathematics

Find graphically the coordinates of the vertices of the triangle formed by the lines y = 0, y = x and 2x + 3y = 10. Hence, find the area of the triangle formed by these lines.

Coordinate Geometry

Related Questions

Solve graphically the following equations :
x + 2y = 4, 3x - 2y = 4.
Take 2 cm = 1 unit on each axis. Write down the area of the triangle formed by the lines and the x-axis.

On graph paper, take 2 cm to represent one unit on both axes, draw the lines :
x + 3 = 0, y - 2 = 0, 2x + 3y = 12.
Write down the coordinates of the vertices of the triangle formed by these lines.

Find the distance between the following pair of points :
(2, 3), (4, 1)

Find the distance between the following pair of points :
(0, 0), (36, 15)

Mathematics

Find graphically the coordinates of the vertices of the triangle formed by the lines y = 0, y = x and 2x + 3y = 10. Hence, find the area of the triangle formed by these lines.

Coordinate Geometry

Related Questions

Solve graphically the following equations :x + 2y = 4, 3x - 2y = 4.Take 2 cm = 1 unit on each axis. Write down the area of the triangle formed by the lines and the x-axis.

On graph paper, take 2 cm to represent one unit on both axes, draw the lines :x + 3 = 0, y - 2 = 0, 2x + 3y = 12.Write down the coordinates of the vertices of the triangle formed by these lines.

Find the distance between the following pair of points :(2, 3), (4, 1)

Find the distance between the following pair of points :(0, 0), (36, 15)

Solve graphically the following equations :
x + 2y = 4, 3x - 2y = 4.
Take 2 cm = 1 unit on each axis. Write down the area of the triangle formed by the lines and the x-axis.

On graph paper, take 2 cm to represent one unit on both axes, draw the lines :
x + 3 = 0, y - 2 = 0, 2x + 3y = 12.
Write down the coordinates of the vertices of the triangle formed by these lines.

Find the distance between the following pair of points :
(2, 3), (4, 1)

Find the distance between the following pair of points :
(0, 0), (36, 15)