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The lines $2 x + 3 y = 12$ , the $x$ -axis and the $y$ -axis enclose a triangle.
Work out the area (in square units) of this triangle.

Class 10Graphical MethodAlgebra — Systems of Equations

A24
B13
C11
D12

Step-by-Step Solution

Intercepts:

x = 6

(when

y = 0

) and

y = 4

(when

x = 0

). Area =

\frac{1}{2} * 6 \times 4 = 12

square units.

Answer: D) 12

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