Let A, B, C be three points whose position vectors respectively are \overrightarrow{a}=\stackrel{\^}{i}+4 \stackrel{\^}{j}+3 \stackrel{\^}{k} \overrightarrow{b}=2 \stackrel{\^}{i}+\alpha \stackrel{\^}{j}+4 \stackrel{\^}{k}, \alpha \in R \overrightarrow{c}=3 \stackrel{\^}{i}-2 \stackrel{\^}{j}+5 \stackrel{\^}{k} If \alpha is the smallest positive integer for which \overrightarrow{a}, \overrightarrow{b}, \overrightarrow{c} are noncollinear, then the length of the median, in ∆ {\ABC}, through {\A} is : [29-Jun-2022-Shift-2]

JEE Main 29 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 15 of 90

Marks: +1, -0

Let A,B,C be three points whose position vectors respectively are

→

+α

,α∈R

→

−2

If α is the smallest positive integer for which

→

are noncollinear, then the length of the median, in ∆ABC, through A is :

[29-Jun-2022-Shift-2]

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