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Find the angle made by the straight line...

Find the angle made by the straight line `y=-sqrt(3)x+3` with the positive direction of the X-axis measured in the counter -clock wise direction.

Text Solution

Verified by Experts

The correct Answer is:
`:.` inclination of the line is `theta=120^(@)`
NA
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Knowledge Check

  • Angle made by the line y = x with the positive direction of X-axis is .......

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `70^(@)`

  • If alpha and beta are then angles made by the normals drawn from the origin to the lines x+y+sqrt2 =0 and x- sqrt3 y-2=0 with the positive direction of the X - axis respectively measured in anti - clockwise direction, then alpha+ beta=

    A
    `(13pi)/(12)`
    B
    `(29pi)/(12)`
    C
    `(11pi)/(12)`
    D
    `(35pi)/(12)`

  • Angle made by the line y=sqrt(3)x-4 with -axis is

    A
    `60^(@)`
    B
    `30^(@)`
    C
    `90^(@)`
    D
    `120^(@)`

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