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Question -

Find the area of the triangle formed by the lines
y = m1x + c1, y = m2x + c2 andx = 0



Answer -

Given:

y = m1x + c1 …(1)

y = m2x + c2 …(2)

x = 0 … (3)

In triangle ABC, letequations (1), (2) and (3) represent the sides AB, BC and CA, respectively.

Solving (1) and (2),we get

Solving (1) and (3):

x = 0, y = c1

Thus, AB and CAintersect at A 0,c1.

Similarly, solving (2)and (3):

x = 0, y = c2

Thus, BC and CAintersect at C 0,c2.

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