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Friday, 9 October

JEE Main Maths · Vector Algebra

Area of Quadrilateral via Diagonals

Area of Quadrilateral via Diagonals (Vector Algebra) was asked 3 times in 3 JEE Main shifts, 2023–2024, out of the 42 shifts Lumi analysed.

Times asked
3
in 3 shifts
Years
2023–2024
Usual format
Single correct
Multi-step
Pattern
Occasional
repeats across shifts

How it is asked

  • Unknown parameters from parallelogram area
  • Area of quadrilateral from vertices

Difficulty

Easy 0Medium 3Hard 0

Where it sits

Chapter: Vector Algebra. Topic: Cross Product, 32 questions over 11 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 9 Apr 2024, Shift 1 · Q17Let OA→=2a⃗\overrightarrow{OA}=2\vec{a}, OB→=6a⃗+5b⃗\overrightarrow{OB}=6\vec{a}+5\vec{b} and OC→=3b⃗\overrightarrow{OC}=3\vec{b}, where O is the origin. If…MediumSingle correct
  2. 9 Apr 2024, Shift 2 · Q18Let a⃗=2i^+αj^+k^, b⃗=−i^+k^, c⃗=βj^−k^\vec{a}=2\hat{i}+\alpha\hat{j}+\hat{k},\ \vec{b}=-\hat{i}+\hat{k},\ \vec{c}=\beta\hat{j}-\hat{k}, where α\alpha and β\beta are…MediumSingle correct
  3. 8 Apr 2023, Shift 2 · Q15The area of the quadrilateral ABCDABCD with vertices A(2,1,1)A(2, 1, 1), B(1,2,5)B(1, 2, 5), C(−2,−3,5)C(-2, -3, 5) and D(1,−6,−7)D(1, -6, -7) is equal toMediumSingle correct