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If a line makes an angle of pi/4 wit...

If a line makes an angle of `pi/4` with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. `pi/3` b. `pi/4` c. `pi/2` d. `pi/6`

Answer

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If a line makes an angle of pi/4 with the positive directions of each of x-axis and y-axis, then the angle that the line makes with the positive direction of the z-axis is :

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Knowledge Check

  • If a line makes angles of measure 45^(@) and 60^(@) with the positive direction of the Y and Z axex respectively, then the angle made by the line with the positive directions of the X-axis is

    A
    `30^(@)" or " 150^(@)`
    B
    `30^(@)" or " 120^(@)`
    C
    `60^(@)" or " 120^(@)`
    D
    `60^(@)" or " 150^(@)`

  • If a line makes angle 120^(@) and 60^(@) with the positive directions of X and Z-axes respectively, then the angle made by theline with positive Y-axis is

    A
    `150^(@)`
    B
    `60^(@)`
    C
    `135^(@)`
    D
    `120^(@)`

  • Find the slope of the lines making inclination of 60^@ with the positive direction of x-axis.

    A
    `sqrt3`
    B
    `(1)/( sqrt3`
    C
    `( sqrt3)/(2)`
    D
    1

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