Home
Class 12
MATHS
Consider the line L 1 : x 1 y 2 z 1 31...

Consider the line L 1 : x 1 y 2 z 1 312 +++ ==, L2 : x2y2z3 123

A

0

B

`(17)/(sqrt(3))`

C

`(41)/(5sqrt(3))`

D

`(17)/(5sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
d

Shortest distance
`= ((1+2)(-1)+(2-2)(-7)+ (1+3)(5))/(5sqrt3) = (17)/(5sqrt3)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES MATRIX-MATCH TYPE|2 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise ARCHIVES REASONING TYPE|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    CENGAGE PUBLICATION|Exercise All Questions|291 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

Consider the line L 1 : x +1/3 = y+ 2/1= z +1/2 L2 : x-2/1= y+2/2= z-3/3 The unit vector perpendicular to both L 1 and L 2 lines is

Consider three planes P_1 : x-y + z = 1 , P_2 : x + y-z=-1 and P_3 : x-3y + 3z = 2 Let L_1, L_2 and L_3 be the lines of intersection of the planes P_2 and P_3 , P_3 and P_1 and P_1 and P_2 respectively. Statement 1: At least two of the lines L_1, L_2 and L_3 are non-parallel . Statement 2:The three planes do not have a common point

Consider the lines given by L_1: x+3y-5=0 L_2:3x-k y-1=0 L_3:5x+2y-12=0 Column I|Column II L_1,L_2,L_3 are concurrent if|p. k=-9 One of L_1,L_2,L_3 is parallel to at least one of the other two if|q. k=-6/5 L_1,L_2,L_3 form a triangle if|r. k=5/6 L_1,L_2,L_3 do not form a triangle if|s. k=5

Consider the lines L_1:(x-1)/2=y/(-1)=(z+3)/1,L_2:(x-4)/1=(y+3)/1=(z+3)/2 and the planes P_1:7x+y+2z=3,P_2:3x+5y-6z=4. Let a x+b y+c z=d be the equation of the plane passing through the point match Column I with Column II. Column I, Column II a= , p. 13 b= , q. -3 c= , r. 1 d= , s. -2

Let the equation of the plane containing the line x-y - z -4=0=x+y+ 2z-4 and is parallel to the line of intersection of the planes 2x + 3y +z=1 and x + 3y + 2z = 2 be x + Ay + Bz + C=0 Compute the value of |A+B+C| .

Consider the lines given by L_(1):x+3y-5=0 L_(2):3x-ky-1=0 L_(3):5x+2y-12=0 Match the following lists.

If A = [(1,2,3),(1,3,-1),(-1,1,-7)] , find A^(-1) , hence solve the following system of linear equations: x + y - z = 3 , 2x + 3y +z 10 and 3x - y - 7z = 1

Show that the lines (x - 1)/3 = (y + 1)/2= (z - 1)/5 and (x + 2) / 4 = (y - 1) / 3 = (z + 1)/ -2 do not intersect.

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Consider a plane x+y-z=1 and point A(1, 2, -3) . A line L has the equation x=1 + 3r, y =2 -r and z=3+4r . The coordinate of a point B of line L such that AB is parallel to the plane is