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I: The foot of the perpendicular from (1...

I: The foot of the perpendicular from (1, 3, 4) to 2x – y +z + 3 = 0 is (-1,4, 3)
II: The image of (1, 3, 4) in the plane 2x – y +z+ 3 = 0 is (-3, 5,2)

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The foot of the perpendicular from (0,0,0) to 3x + 4y – 6z = 0 is

    A
    (3, 4, -6)
    B
    (0,4 – 6)
    C
    (3, 0, – 6)
    D
    (0, 0, 0)
  • The foot of the perpendicular from (0,2,3) to the line (x+3)/5 = (y-1)/2 = (z+4)/3 is

    A
    `(-2,3,4)`
    B
    `(2,-1,3)`
    C
    `(2,3,-1)`
    D
    `(3,2,-1)`
  • If the distance from (1,2,4) to the plane 2x+2y-z+k=0 is 3, then k =

    A
    4
    B
    5
    C
    7
    D
    11
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