Question

draw graph of x/3 + y/4 = 1 find the area of triangle formed with Axis
please give the right answer with explanation​

Answer 1

3

x

+

4

y

=1 Also, find the area of the triangle formed by the line and the coordinate axes.

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ANSWER

3

x

+

4

y

=1

⇒

12

4x+3y

=1

⇒4x+3y=12

x=

4

12−3y

Let the graph cut the x-axis at A(3,0) and y-axis at B(0,4)

Then ΔAOB is a right-angled.

Base OA=3 units, Height OB=4 units

Area of the triangle=

2

1

× base× height

=

2

1

×3×4

=6 sq.units.

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