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The sine of the angle between the line (...

The sine of the angle between the line `(x-2)/(3) = (y-3)/(4) = (z-4)/(5)` and the plane `2x-2y+z=5` is

A

`sin^(-1) (-(1)/(2))`

B

`"cos"^(-1) (1)/(2)`

C

`0^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The line (x-2)/(3) = (y-3)/(4)= (z-4)/(5) is parallel to the plane

    A
    `2x+3y+4z=0`
    B
    `3x+4y+5z+2=0`
    C
    `2x+y-2z=0`
    D
    `x-y+z=2`
  • The angle between the lines (x+4)/(1) = (y-3)/(2) = (z+2)/(3) and (x)/(3) = (y)/(-2) = (z)/(1) is

    A
    `sin^(-1) ((1)/(7))`
    B
    `cos^(-1) ((2)/(7))`
    C
    `cos^(-1) ((1)/(7))`
    D
    none of these
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