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The equation of line passing through the...

The equation of line passing through the origin and the direction cosines `(2pi)/(3),(pi)/(4),(pi)/(3)` is ….......

A

`x=(y)/(-sqrt2)=z`

B

`(x)/(-1)=(y)/(-sqrt2)=z`

C

`x=(y)/(-sqrt2)=-z`

D

`x=(y)/(sqrt2)=z`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The equations of the lines passing through the point (1,0) and at a distance ( sqrt3)/( 2) from the origin, are

    A
    `sqrt(3) x + y - sqrt(3) =0, sqrt(3) x - y - sqrt(3) = 0`
    B
    `sqrt( 3) x + y + sqrt(3) = 0, sqrt(3) x - y + sqrt(3) =0`
    C
    `x + sqrt(3) y - sqrt(3) = 0, sqrt(3 ) y - sqrt(3) = 0`
    D
    None of these

  • The equation to the plane through the pionts (2,-1,00) and (3,-4,5) parallel to a line with direction cosines proportional to 2,3,4 is 9x-2y-3z = k , where k is ......

    A
    20
    B
    `-20`
    C
    `10`
    D
    `-10`

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