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Vector Algebra question

2024 · 29 Jan · Shift 2 · Q44
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  5. /2024 · 29 Jan · Shift 2 · Q44

Vector Algebra question

2024 · 29 Jan · Shift 2 · Q44

JEE MainMathematicsVector AlgebraMCQ+4 / −1
Let OA→=a⃗,OB→=12a⃗+4b⃗ and OC→=b⃗\overrightarrow{O A}=\vec{a}, \overrightarrow{O B}=12 \vec{a}+4 \vec{b} \text { and } \overrightarrow{O C}=\vec{b}OA=a,OB=12a+4b and OC=b, where O is the origin. If S is the parallelogram with adjacent sides OA and OC, then area of the quadrilateral OA BCarea of S\mathrm{{{area\,of\,the\,quadrilateral\,OA\,BC} \over {area\,of\,S}}}areaofSareaofthequadrilateralOABC​ is equal to ‾\underline{\hspace{2cm}}​.
  1. A
    7
  2. B
    6
  3. C
    8
  4. D
    10
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