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JEE MAIN 2025
29-01-2025 SHIFT-1
Question
Let $\overrightarrow {\rm{a}} = \hat i + 2\hat j + \hat k$ and $\overrightarrow {\bf{b}} = 2\hat i + 7\hat j + 3\hat k$ . Let ${{\rm{L}}_1}:\overrightarrow {\rm{r}} = ( - \hat i + 2\hat j + \hat k) + \lambda \overrightarrow {\bf{a}} ,\lambda \in {\bf{R}}$ and ${{\rm{L}}_2}:\overrightarrow {\rm{r}} = (\hat j + \hat k) + \mu \overrightarrow {\rm{b}} ,\mu \in {\bf{R}}$ be two lines. If the line ${{\rm{L}}_3}$ passes through the point of intersection of ${{\rm{L}}_1}$ and ${{\rm{L}}_2}$ , and is parallel to $\vec a + \vec b$, then ${{\rm{L}}_3}$ passes through the point :
Select the correct option:
A
(8,26,12)
B
(5,17,4)
C
(2,8,5)
D
(-1,-1,1)
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Question Tags
JEE Main
Mathematics
Easy
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