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If line (x-2)/(3)=(y-4)/(4)=(z+2)/(1) is...

If line `(x-2)/(3)=(y-4)/(4)=(z+2)/(1)` is paralle to planes `mux+3y-2z+d=0 and x-2lambda y+z=0` then value of `lambda and mu ` are

A

`mu=4, lambda=-(2)/(3)`

B

`mu=-6, lambda=-2`

C

`mu=(-10)/(3), lambda =(-1)/(2)`

D

`mu=(-10)/(3)lambda, =(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`3xxmu+4xx3+1xx(-2)=0`
`3mu=2-12`
`mu=(-10)/(3) and 3xx1+4xx(-2lambda)+1xx 1=0`
`-8 lambda=-4 , " " lambda=(1)/(2)`
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