The largest value of a, for which the perpendicular distance of the plane containing the lines \overrightarrow{r}=(\stackrel{\^}{i}+\stackrel{\^}{j})+\lambda(\stackrel{\^}{i}+a \stackrel{\^}{j}-\stackrel{\^}{k}) and \overrightarrow{r}=(\stackrel{\^}{i}+\stackrel{\^}{j})+\mu(-\stackrel{\^}{i}+\stackrel{\^}{j}-a \stackrel{\^}{k}) from the point (2,1,4) is \sqrt{3}, is _________. [26-Jul-2022-Shift-2]

JEE Mains 26-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 22 of 90

Marks: +1, -0

The largest value of a, for which the perpendicular distance of the plane containing the lines

→

)+λ(

−

) and

→

)+µ(−

−a

) from the point (2,1,4) is √3, is _________.

[26-Jul-2022-Shift-2]

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