Home
Class 12
MATHS
L(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L(2)...

`L_(1):(x+1)/(-3)=(y-3)/(2)=(z+2)/(1),L_(2):(x)/(1)=(y-7)/(-3)=(z+7)/(2)`
The lines `L_(1)` and `L_(2)` are -

A

Perpendicular

B

Parallel

C

Coplanar

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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 ax+by+cz=d the equation of the plane passing through the point of intersection of lines L_(1) and L_(2) and perpendicualr to planes P_(1) and P_(2) . Match List I with List II and select the correct answer using the code given below the lists.

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

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 ax+by+cz=d be the equation of the plane passing through the point of intersection of lines L_(1) and L_(2) , and perpendicular to planes P_(1) and P_(2) . Match Column I with Column II.

Let angle_(1) and angle_(2) be two lines such that L_(2) : (x+1)/-3=(y-3)/2=(z+2)/1, L_(2) : x/1 = (y-7)/-3 = (z+7)/2 The ppoint of intersection of angle_(1) and angle_(2) is

Read the following passage and answer the questions. Consider the lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The distance of the point (1,1,1) from the plane passing throught the point (-1,-2,-1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The shortest distance between L_(1) and L_(2) is

Read the following passage and answer the questions. Consider the lines L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2) L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3) Q. The distance of the point (1, 1, 1) from the plane passing through the point (-1, -2, -1) and whose normal is perpendicular to both the lines L_(1) and L_(2) , is

Equation of plane which passes through the intersection point of the lines L_(1):(x-1)/(3)=(y-2)/(1)=(z-3)/(2) and L_(2):(x-2)/(2)=(y-1)/(2)=(z-6)/(-1) and has the largest distance from origin