1.

If the line, `(x-3)/2=(y+2)/(-1)=(z+4)/3`lies in the place, `l x+m y-z=9`, then `l^2+m^2`is equal to:(1) 26(2) 18(3) 5(4) 2A. 26B. 18C. 5D. 2

Answer» Correct Answer - D
Since, the line `(x-3)/(2)=(y+2)/(-1)=(z+4)/(3)` line in the plane
`lx+my-z=9,` therefore we have `2l-m-3=0`
[`because` normal will be perpendicular to the line]
`implies" "2l-m=3" "...(i)`
and `" "3l-2m+4=9`
[`because` point (3, -2, -4) lies on the plane]
`implies" "3l-2m=5" "...(ii)`
On solving Eqs. (i) and (ii), we get
`l=1" and "m=-1`
`:." "l^(2)+m^(2)=2`


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