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The angle between the lines a (1) x + b(...

The angle between the lines `a _(1) x + b_(1)y+c_(1) =0 and a _(2)x+ b_(2)y+c_(2)=o,` is

A

`tan^(-1)""(a _(1)b_(2)+a_(2)b_(2))/(a _(1)a _(2)-b_(1)b_(2)'

B

`cot^(-1)""(a _(1)a_(2)+b_(1)b_(2))/(a _(1)b _(2)-a_(2)b_(1))`

C

`cot ^(-1)"'( a_(1)b_(1)- a _(2)b_(2))/(a _(1)a_(2) +b_(1)b_(2))`

D

`tan ^(-1)""(a _(1)b_(1)-a_(2)b_(2))/(a _(1)b_(2)+b_(1)b_(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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