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Draw the graph of two lines …

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Draw the graph of two lines whose equations are 3 x +2 y =6 and x+y=6. On the same graph paper find the area of triangle formed by the two lines and x axis

Posted by Khushi Sharma 4 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 4 years, 7 months ago

Given : Equations of the line 3x + 2y - 6 = 0 and x + 2y - 6 = 0

To Find : Area of the triangle formed by 2 lines and x-axis.

Solution:

Equation of the first line is 3x + 2y - 6 = 0

Slope-intercept form of the equation is,

2y = -3x + 6

---------(1)

Table for input-output values will be,

x 0 2 4

y 3 0 -3

Similarly, second equation is,

x + 2y - 6 = 0

2y = -x + 3

y = --------(2)

Table for input-output values will be,

x 0 2 6

y 3 2 0

Now by plotting these points we get a triangle with vertices (0, 3), (2, 0) and (6, 0)

Area of the given triangle =

Base = 4 units

Height = 3 units

Area = = 6 square units

0Thank You

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