Home
Class 12
MATHS
A straight line L intersects perpendicul...

A straight line L intersects perpendicularly both the lines :
`(x+2)/(2)=(y+6)/(3)=(z-34)/(-10) and (x+6)/(4)=(y-7)/(-3)=(z-7)/(-2)`,
then the square of perpendicular distance of origin from L is

Text Solution

Verified by Experts

The correct Answer is:
5
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Prove that the lines (x+1)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(4)=(z-6)/(7) lines.

The lines (x-1)/(2)=(y-2)/(4)=(z-3)/(7) and (x-1)/(4)=(y-2)/(5)=(z-3)/(7) are (A) perpendicular (B) intersecting (C) skew (D) parallel

Knowledge Check

  • The lines (x)/(1)=(y)/(2)=(z)/(3)and(x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

    A
    perpendicular
    B
    parallel
    C
    intersecting
    D
    skew

  • If lines (x+l)/(3)=(y+3)/(5)=(z+5)/(7) and (x-2)/(1)=(y-4)/(3)=(z-6)/(5) are coplanar, then l is equal to

    A
    0
    B
    1
    C
    2
    D
    3

  • The lines (x-1)/2= (y-2)/4 = (z-3)/6 and (x-1)/4 = (y-2)/5 = (z-3)/7 are

    A
    perpendicular
    B
    parallel
    C
    intersecting
    D
    skew

    • Similar Questions

    Explore conceptually related problems

    Find the directions ratios of the line perpendicular to the lines (x-7)/(2) = ( y+ 7)/(-3) =(z-6)/(1) and (x+5)/(1) = (y+3)/(2)= (z-6)/(-2)

    Find the perpendicular distance of origin from of the plane 6x-2y+3z -7=0

    Find the angle between the lines (5-x)/(3)=(y+3)/(-4) ,z=7 " and " (x)/(1) =(1-y)/(2)=(z-6)/(2)

    The lines (x-1)/(1)=(y-1)/(2)=(z-1)/(3) and (x-4)/(2)=(y-6)/(3)=(z-7)/(3) are coplanar. Their point of intersection is

    The line of shortest distance between the lines (x-1)/(2)=(y+8)/(-7)=(z-4)/(5)and(x-1)/(2)=(y-2)/(1)=(z-6)/(-3) intersects the first line at the point

    Home
    Profile