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Find the angle between the lines y-sqrt...

Find the angle between the lines `y-sqrt(3)x-5=0`and `sqrt(3)y-x+6=0`.

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To find the angle between the lines given by the equations \( y - \sqrt{3}x - 5 = 0 \) and \( \sqrt{3}y - x + 6 = 0 \), we can follow these steps: ### Step 1: Convert the equations to slope-intercept form The slope-intercept form of a line is given by \( y = mx + c \), where \( m \) is the slope. 1. For the first line \( y - \sqrt{3}x - 5 = 0 \): \[ y = \sqrt{3}x + 5 ...
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Knowledge Check

  • The angle between the lines sqrt(3)x-y-2=0 and x-sqrt(3)y+1=0 is

    A
    `90^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `30^(@)`
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