Straight LineHard

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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