Engineering
Mathematics
Various Form of a Straight Line
Pair of Straight Lines
Angle Bisector Between Two Lines
Question

Area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 equals

1|m-n|

|m+n|(mn)2

1|m+n|

2|m+n|

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Solution
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y = mx        y = mx + 1,        y = nx        y = nx + 1    
Area of ||gm=c1c2d1d2m1m2=1×1mn=1|mn|