Home
Class 12
MATHS
A line from the origin meets the lines (...

A line from the origin meets the lines `(x-2)/1 = (y-1)/(-2) = (z+1)/1 and (x-8/3)/2 = (y+3)/(-1) = (z-1)/1` at P and Q respectively. If length `PQ = d` then `d^(2)` is equal to

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

  • VECTORS AND THEIR APPLICATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|296 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance between the lines. (x+1)/7=(y+1)/(-6)=(z+1)/1 " and " (x-3)/1=(y-5)/(-2)=(z-7)/1 .

Lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-K) and (x-1)/(K)=(y-4)/(2)=(z-5)/(1) are coplanar if

Knowledge Check

  • The lines (x-1)/1 =(y-2)/2 =(z-3)/3 and x/2 =(y+2)/2 =(z-3)/(-2) are :

    A
    at. rt. angles
    B
    skew
    C
    parallel
    D
    intersecting

  • The angle between the lines (x+1)/1 = (y-3)/2 = (z+2)/3 and x/3 = (y-1)/(-2) = z/1 is

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

  • The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sqrt3 -1) = (y-1)/(sqrt3 -1) = (z-1)/4 is

    A
    `pi/6`
    B
    `pi/3`
    C
    `(cos^(-1))1/65`
    D
    `pi/4`

    • Similar Questions

    Explore conceptually related problems

    Find the angle between the pair of lines (x+3)/(3) =(y-1)/(5) =(z+3)/(4) and (x+1)/(1) = (y-4)/(1) = (z-5)/(2)

    The point of intersection of the line (x-5)/3 = (y-7)/(-1) = (z+2)/1 , (x+3)/(-36) = (y-3)/2 = (z-6)/4 is

    The lines (x-1)/2=(y-2)/4=(z-3)/7 and (x-1)/4 =(y-2)/5=(z-3)/7 are :

    The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = (y+2)/2 = (z-3)/(-3) is

    The lines : (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k =(y-4)/2 =(z-5)/1 are co-planar if :

    Home
    Profile