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3D Geometry - JEE Mathematics question (JEE Main 2020 (Online) 3rd September Morning Shift)

JEE Main 2020 (Online) 3rd September Morning ShiftQuestion 1
The lines $\vec r=(\hat i-\hat j)+l(2\hat i+\hat k)$ and $\vec r=(2\hat i-\hat j)+m(\hat i+\hat j-\hat k)$
3D Geometry
Options for question 1, choose one

Solution

Line 1: $(1+2l,-1,l)$; line 2: $(2+m,-1+m,-m)$. $y$: $-1=-1+m\Rightarrow m=0$. $z$: $l=-m=0$. $x$: $1\ne 2$. No common point: (D).

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