draw the graph of equation 2x-3y=2 and x-2y=8 determine the coordinates of the vertices of the triangle formed by two lines and the y-axis and calculate the area of triangular region formed
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❥︎Question :-
- Draw the graph of equation 2x - 3y = 2 and x - 2y = 8. Determine the coordinates of the vertices of the triangle formed by two lines and the y-axis and calculate the area of triangular region formed.
❥︎Answer
❥︎Given :-
- Two lines 2x - 3y = 2 and x - 2y = 8.
❥︎To find :-
- The coordinates of the vertices of the triangle formed by two lines and the y-axis
- The area of triangular region formed.
Solution :-
❥︎Consider line (1), 2x - 3y = 2.
⟶The points lies on line (1) are
❥︎Consider line (2), x - 2y = 8
⟶The points lies on line (2) are
❥︎Plot these points on the graph paper,
Blue represents 2x - 3y = 2 and red represents x - 2y = 8.
⟶The required triangle is ABC bounded by the given two lines ans y - axis, having vertices
❥︎Now, Required area of triangle ABC
⟶ Area of triangle ADC - Area of triangle ADB
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