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प्रश्न
Draw the graph of the following lines:
4x + 3y = 12 and 2x − 3y = 6
Find the solution set and the area of triangle formed by the two lines with y-axis.
आलेख
बेरीज
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उत्तर
4x + 3y = 12
2x − 3y = 6
The lines intersect at the point (3, 0).
This is the solution to the system of equations.
The triangle is formed between:
The y-intercepts of both lines:
y = 4
y = −2
so, Base = |4 − 2| = 2
Base = |4 − (−2)|
= |4 + 2|
= 6
Height = 3
Area = `1/2 xx "base" xx "height"`
Area = `1/2 xx 6 xx 3`
9 square units
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