How to calculate area enclosed by three algebric lines?
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Step-by-step explanation:
a1x+b1y+c1=0
a1x+b1y+c1=0
a2x+b2y+c2=0
a2x+b2y+c2=0
a3x+b3y+c3=0
a3x+b3y+c3=0
Then the area of the triangle that these lines will enclose is given by the magnitude of :
det⎡⎣⎢a1a2a3b1b2b3c1c2c3⎤⎦⎥22C1C2C3
det[a1b1c1a2b2c2a3b3c3]22C1C2C3
Where C1,C2,C3C1,C2,C3 are the co-factors of c1,c2,c3c1,c2,c3 respectively in the above matrix.
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