1.

A line L_(1) with direction ratios -3,2,4 passes through the point A(7,6,2) and a line L_(2) with directions ratios 2,1,3 passes through the point B(5,3,4). A line L_(3) with direction ratios 2,-2,-1 intersects L_(1) and L_(3) at C and D, resectively. The lenth CD is equal to

Answer»

4
6
9
11

Solution :`L_(1) = (x-7)/-3= (y-6)/2 = (z-2)/4` and `L_(2) = (x-5)/2=(y-3)/1=(z-4)/3`
`THEREFORE D(2mu+5,mu+3,3mu+4)`
So, `(2-3lambda-2mu)/2=(3+2lambda-mu)/-2=(-2+4lambda-3mu)/-1`
`therefore lambda=2, mu=1`
So, C(1,10,10) and D(7,4,7) `RARR` CD=9.


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