Home
Class 12
MATHS
Let the line L1: (x-1)/2=(y-2)/3=(z-3)/4...

Let the line `L_1: (x-1)/2=(y-2)/3=(z-3)/4` and `L_2:( x-2)/1= (y-3)/2=(z-k)/4` intersect at `P`.The least distance of `P` from the plane `3 x-4 y - 12 z+4=0`, equals

Text Solution

Verified by Experts

The correct Answer is:
7
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise JEE Advanced Previous Year|9 Videos

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE|Exercise JEE Previous Year|26 Videos

Similar Questions

Explore conceptually related problems

Show that the lines (x-1)/(2)=(y-2)/(y-1)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z intersect

Two lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=(z)/(1) intersect at a point P. If the distance of P from the plane 2x-3y+6z=7 is lambda units, then the value of 49lambda is equal to

Knowledge Check

  • If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 , intersect, then

    A
    `2/9`
    B
    `9/2`
    C
    0
    D
    none of these

  • The point of intersection of the lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-4)/5=(y-1)/2=z is

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

  • If the lines (x-1)/(2)= (y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-p)/(2)= (z)/(1) intersect, then p is equal to

    A
    `9/2`
    B
    10
    C
    1
    D
    `12/11`

    • Similar Questions

    Explore conceptually related problems

    If lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect then find k and hence find the equation of the plane containing these lines

    The lines (x-2)/(2)=(y)/(-2)=(z-7)/(16) and (x+3)/(4)=(y+2)/(3)=(z+2)/(1) intersect at the point "P" .If the distance of "P" from the line (x+1)/(2)=(y-1)/(3)=(z-1)/(1) is "l" ,then 14l^(2) is equal to

    " The point of intersection of lines "(x-1)/(2)=(y-2)/(3)=(z-3)/(4)" and "(x-4)/(5)=(y-1)/(2)=(z)/(1)" is "

    IF lines (x-1)/(2) =(y+1)/(3) =(z-1)/(4) and x-3 =(y-k) /(2) = z intersect then the value of k is

    The point of intersection of lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4)and(x-4)/(5)=(y-1)/(2)=(z)/(1) is

    Home
    Profile