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Given: lines are as follows:

y = m1 x … (1)

y = m2 x … (2)

y = c … (3)

To prove:

The area of the triangle formed by the lines y = m₁x, y = m₂x and y = c is equal to .

Concept Used:

Point of intersection of two lines.

Explanation:

Solving (1) and (2), we get (0, 0) as their point of intersection.

Solving (1) and (3), we get as their point of intersection.

Similarly, solving (2) and (3), we get as their point of intersection.

∴ Area of the triangle formed by these lines =

It is given that m1 and m2 are the roots of the

∴ AREA =

Hence Proved.