JEE Main 2022 · 25 Jul · Shift 2 · Mathematics Q16

MathematicsSingle correct+4 / -1Question 16 of 90

The shortest distance between the lines $\dfrac{x+7}{-6}=\dfrac{y-6}7=z$ and $\dfrac{7-x}2=y-2=z-6$ is

2\sqrt{29}

\sqrt{\dfrac{37}{29}}

\dfrac{\sqrt{29}}2

Answer and worked solution

Official answer: A

Lines through $(-7,6,0)$ along $(-6,7,1)$ and $(7,2,6)$ along $(-2,1,1)$ . Normal $(6,4,8)$ ; joining vector $(14,-4,6)$ .

Distance $\dfrac{116}{\sqrt{116}}=2\sqrt{29}$ .

(A)

Topics:Skew lines

JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 16