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JEE Advanced 2019 Paper 2 Mathematics Q8
Mathematics
Problem
The lines L₁ :
r
⃗
\vec{r}
r
= λî, λ ∈ ℝ; L₂ :
r
⃗
\vec{r}
r
=
k
^
\hat{k}
k
^
+ μĵ, μ ∈ ℝ; and L₃ :
r
⃗
\vec{r}
r
= î + ĵ + ν
k
^
\hat{k}
k
^
, ν ∈ ℝ are given. For which point(s) Q on L₂ can we find a point P on L₁ and a point R on L₃ so that P, Q and R are collinear?
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