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The angle between the straight lines x -...

The angle between the straight lines x -y `sqrt3=5 and sqrt3x +y =7 ` is

A

`90^(@)`

B

`60^(@)`

C

`75^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given lines are `x-ysqrt(3)=5` and `sqrt(3)x=y=7`.
Here, `a_(1)=1,b_(1)=-sqrt(3)`
and `a_(2)=sqrt(3),b_(2)=1`
Now,
`a_(1)a_(2)+b_(1)b_(2)=1.sqrt(3)+(-sqrt(3)).1=0`
Since, lines are perpendicular, so
`theta=90^(@)`.
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