Home
Class 12
MATHS
The shortest distance between the two li...

The shortest distance between the two lines `L_1:x=k_1, y=k_2 and L_2: x=k_3, y=k_4` is equal to

A

`|sqrt(k_1^2+k_2^2)-sqrt(k_3^2+k_4^2)|`

B

`sqrt(k_1k_3+k_3k_4)`

C

`sqrt((k_1+k_3)^2+(k_2+k_4)^2)`

D

`sqrt((k_1-k_3)^2+(k_2-k_4)^2)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Similar Questions

Explore conceptually related problems

The shortest distance between line y-x=1 and curve x=y^2 is

Find the distance between the points (k, k+1, k+2) and (0, 1, 2).

Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and (x+3)/(-3)=(y+7)/(2)=(z-6)/(4) is lambdasqrt(30) unit, then the value of lambda is

If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k is 1/6 then k = ...............

Find k if the perpendicular distance between lines 5x + 12y =1 and 5x + 12y + k =0 is 25 unit.

The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k + 1, y =2 k -1, z=2k +3, k in R is .....

If perpendicular distance between lines 3x + 4y + 10 = 0 and 6x + 8y + k = 0 is 7/2 unit then k = ........