# Show that the area of the triangle formed by the lines y = m1x, y = m2x and y = c is equal to , where m1, m2 are the roots of the equation .

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.

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