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The foot of the perpendicular drawn from...

The foot of the perpendicular drawn from the origin on the line `3x+y=lamda(lamda!=0)` is P. If the line meets x-axis at A and y-axis at B, then the ratio `BP : PA` is:

A

`9:1`

B

`1:3`

C

`3:1`

D

`1:9`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The foot of the perpendicular drawn from the origin to the plane x+y+z=3 is

    A
    `(0,1,2)`
    B
    `(0,0,3)`
    C
    `(1,1,1)`
    D
    `(-1,1,3)`

  • The foot of the perpendicular drawn from the point (7, 8) to the line 2x + 3y – 4 = 0 is -

    A
    `(23/13, 2/13)`
    B
    `(13, 23/13)`
    C
    `( - 23/13 , - 2/13)`
    D
    `( - 2/13 , 23/13)`

  • Foot of the perpendicular drawn from the origin to the line x-2 = (y+3)/(-2) = z is point

    A
    `(2/3,1/3,-4/3)`
    B
    `(2/3,-1/3,-4/3)`
    C
    `(-2/3,1/3,-4/3)`
    D
    `(2,-1,-4)`

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