Question

If the line joining the points(k,1,2),(3,4,6) is parallel to the line joining the points (-4,3,-6),(5,12,l) then
( k ,l )=

Answer 1

when the two lines are parallel, their direction ratio is in same ratio

Answer 2

Answer:

(k , l) = (0 , 6)

Step-by-step explanation:

To Find :  the co-ordinates (k, l)

Concept : If two lines are parallel then ,  $\frac{a_{1} }{a_{2}} = \frac{b_{1} }{b_{2}} = \frac{c_{1} }{c_{2}}$

Solution :

DR's of line joining (k, 1, 2) , (3, 4, 6) = (3 - k, 3, 4)

DR's of line joining (-4, 3, -6), (5, 12, l) = (9, 9, l+6)

Since both line are parallel,

$\frac{a_{1} }{a_{2}} = \frac{b_{1} }{b_{2}} = \frac{c_{1} }{c_{2}}$

$= > \frac{3 - k}{9} = \frac{3 }{9} = \frac{4 }{l+6}$

Then, (k,l) = (0,6)

#SPJ2