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If a line passing through (4, 1, 2) and ...

If a line passing through (4, 1, 2) and (5, k, 0) is perpendicular to the line passing through (2, 1, 1) and (3, 3, -1), then k =

A

`(1)/(2)`

B

`(-1)/(2)`

C

`(3)/(2)`

D

`(-3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Find the equation of the line passing through (2,1,-2) and (5,3,4) and of the plane passing through (2,0,3) , (1,1,5) and (3,2,4) . Also find their point of intersection.

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Knowledge Check

  • Equation of a line passing through (1,-2) and perpendicular to the line 3x-5y+7=0 is

    A
    5x+3y+1=0
    B
    3x+5y+1=0
    C
    5x-3y-1=0
    D
    3x-5y+1=0
  • Equations of the line passing through (1,2,3)and (-3,4,3) are

    A
    ` (x-1)/(-4) = (y-2)/(-2) = (z-3)/0`
    B
    `(x-1)/(-4)= (y-2)/(-2)`
    C
    `(x-1)/2 = 2- y = (z-3)/0`
    D
    ` (x -2)/(-3) = (y-4)/2 = (z-3)/3 `
  • The area (in square units ) of the triangle formed by y-axis , the straight line L passing through (1,1) and (2,0) and the straight line perpendicular to the line L and passing through (1/2, 0) , is

    A
    `(25)/(8)`
    B
    `(25)/(4)`
    C
    `(25)/(16)`
    D
    `(25)/(2)`
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