Straight LineMedium
Question
Area of the parallelogram formed by the lines y = mx, y = mx +1, y = nx and y = nx +1 equals
Options
A.

B.

C.

D.

Solution

Let lines OB : y = mx
CA: y = mx + 1
BA: y = nx + 1
and OC : y = nx
The point of intersection B of
OB and AB has x coordinate

Now, area of a parallelogram
OBAC = 2 × EA OF ᐃOBA

depending upon whether m > n or m < n
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