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JEE Mains · Maths · STD 12 - 10. vector algebra

\(A (2,6,2), B (-4,0, \lambda), C (2,3,-1)\) અને \(D (4,5,0)\), \(|\lambda| \leq 5\) એ ચતુષ્કોણ \(A B C D\) ના શિરોબિંદુઓ છે. જો તેનું ક્ષેત્રફળ \(18\) ચોરસ એકમ હોય તો \(5-6 \lambda\) ની કિમંત મેળવો.

  1. A \(10\)
  2. B \(12\)
  3. C \(11\)
  4. D \(14\)
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Answer & Solution

Correct Answer

(C) \(11\)

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Detailed explanation

\(A (2,6,2) \quad B (-4,0, \lambda), C (2,3,-1) D (4,5,0)\) \(\text { Area }=\frac{1}{2}|\overrightarrow{B D} \times \overline{A C}|=18\)…
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