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The area of the parallelogram formed by ...

The area of the parallelogram formed by the lines `y=m x ,y=x m+1,y=n x ,a n dy=n x+1` equals. `(|m+n|)/((m-n)^2)` (b) `2/(|m+n|)` `1/((|m+n|))` (d) `1/((|m-n|))`

A

`(|m+n|)/(m-n)^(2)`

B

`(2)/(|m+n|)`

C

`(1)/(|m+n|)`

D

`(1)/(|m -n|)`

Text Solution

Verified by Experts

The correct Answer is:
D
The equations of the side are `: mx - y =0`
`,mx -y + 1 = nx-y=0` and `nx-y+1=0`
`therefore " Area of parallelogram"= |{:((1-0)(1-0))/(|{:(m-1),(n-1):}|):}| = =(1)/(|m-n|)`
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