Home
Class 12
MATHS
Read the following passage and answer th...

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

A

`2 //sqrt74` unit

B

`7//sqrt75` unit

C

`41//5 sqrt3` unit

D

`23//sqrt75` units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

cosider the lines, L1=(x+1)/3=(y+2)/1=(z+2)/2 L2=(x-2)/1=(y+2)/2=(z-3)/3 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

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 unit vector perpendicular to both 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) The unit vector perpendicualr to both L_(1) and L_(2) is

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) 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 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

The distance of the point (1, 3, -7) from the plane passing through the point (1, -1, -1) having normal perpendicular to both the lines (x-1)/(1)=(y+2)/(-2)=(z-4)/(3) and (x-2)/(2)=(y+1)/(-1)=(z+7)/(-1) is