1.

The angle between the lines `y=(2-sqrt3)x+5 and y=(2+sqrt3)x-7` isA) `30^@` B) `60^@` C) `45^@`A. `60^(@)`B. `45^(@)`C. `30^(@)`D. `15^(@)`

Answer» Correct Answer - A
The given lines are
`y=(2-sqrt(3))x+5` and `y=(2+sqrt(3))x-7`
Therefore, slope of first line `m_(1)=2-sqrt(3)` and
slope of second line `m_(2)=2+sqrt(3)`
`:. tan theta=|(m_(2)-m_(1))/(1+m_(1)m_(2))|=|(2+sqrt(3)-2+sqrt(3))/(1+(4-3))|`
`=|(2sqrt(3))/2|=sqrt(3)="tan" pi/3 implies theta=pi/3=60^(@)`


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