Let be the set of all values of , for which the shortest distance between the lines Then, is equal to:

306 Explanation: Step 1: Lines se vectors nikalna Dono lines ki equations se points ( ) aur direction vectors ( ) nikalte hain: Line 1 ( ): Point aur direction Line 2 ( ): Point aur direction Step 2: Shortest Distance (SD) ka formula lagana Skew lines ke liye formula hota hai: Sabse pehle aur calculate karte hain: Step 3: Magnitude aur Dot Product Magnitude Dot product Step 4: ki values ke liye solve karna Di gayi distance hai: Isse do cases bante hain: Step 5: Final calculation Humein nikalna hai :

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $S$ be the set of all values of $\lambda$ , for which the shortest distance between the lines $\frac{x - λ}{0} = \frac{y - 3}{4} = \frac{z + 6}{1} and \frac{x + λ}{3} = \frac{y}{- 4} = \frac{z - 6}{0} is 13.$ Then, $8 \left| \sum_{\lambda \in S} \lambda \right|$ is equal to:

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