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A line passes through the points (6,-7,-...

A line passes through the points (6,-7,-1) and (2,-3,1). The d.c's of the line so directed that the angle made by it with the positive direction of x-axis is acute are

A

`((2)/(3),(-2)/(3),(1)/(3))`

B

`((2)/(3),(2)/(3),(-1)/(3))`

C

`((-2)/(3),(-2)/(3),(1)/(3))`

D

`((2)/(3),(-2)/(3),(-1)/(3))`

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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^(@)`

  • A line passing through the points (7,2) , (-3,2) then the image of the line in the x-axis is

    A
    y=4
    B
    y=9
    C
    y=-1
    D
    y=-2

  • A pair of straight lines is passing through the point (1,1) . One of the lines makes an angle theta with the positive direction of X- axis and the other makes the same angle with the positive direction of Y-axis. If the equation of the pair of straight lines is x^2 - (a+2) xy+ y^2+a(x+y-1)=0. a ne -2, then the value of theta is

    A
    `1/2 Sin^(-1) ((2)/(+2))`
    B
    `(1)/(2) sin ((2)/(a+2))`
    C
    `(1)/(2) Tan^(-1) ((2)/(a+2))`
    D
    `(1)/(2) tan ((2)/(a+2))`

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