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JEE Mains · Maths · STD 12 - 11. three dimension geometry

ધારોકે \(S\) એ \(\lambda\) ની એવી કિંમતોનો ગણ છે જેના માટે રેખાઓ \(\frac{x-\lambda}{0}=\frac{y-3}{4}=\frac{z+6}{1}\) અને \(\frac{x+\lambda}{3}=\frac{y}{-4}=\frac{z-6}{0}\) વચ્ચેનું ન્યૂનત્તમ અંતર \(13\) છે.તો \(8\left|\sum_{\lambda \in S} \lambda\right|=........\)

  1. A \(304\)
  2. B \(308\)
  3. C \(306\)
  4. D \(302\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(306\)

Step-by-step Solution

Detailed explanation

Shor test distance \(=\frac{\left|\begin{array}{ccc}0 & 4 & 1 \\ 3 & -4 & 0 \\ 2 \lambda & 3 & -12\end{array}\right|}{\left|\begin{array}{ccc}\hat{ i } & \hat{ j } & \hat{ k } \\ 0 & 4 & 1 \\ 3 & -4 & 0\end{array}\right|}\)…
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