JEE Mains · Maths · STD 12 - 10. vector algebra
\(A (2,6,2), B (-4,0, \lambda), C (2,3,-1)\) and \(D (4,5,0)\), \(|\lambda| \leq 5\) are the vertices of a quadrilateral \(A B C D\). If its area is \(18\) square units, then \(5-6 \lambda\) is equal to \(.........\).
- A \(10\)
- B \(12\)
- C \(11\)
- D \(14\)
Answer & Solution
Correct Answer
(C) \(11\)
Step-by-step Solution
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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