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JEE Main 2023 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 15 April 2023, Shift 1, Maths Q17

Question 17 of 90 in this shift, Maths question 17 of 30, Section A.

Let ABCD be a quadrilateral. If E and F are the mid points of the diagonals AC and BD respectively and

\left(\overrightarrow{AB}-\overrightarrow{BC}\right)+\left(\overrightarrow{AD}-\overrightarrow{DC}\right)=k\,\overrightarrow{FE}

, then

k

is equal to

(1) $-4$ Official answer
(2) $-2$
(3) $2$
(4) $4$

Official answer

Option 1

NTA final key.

Chapter: Vector Algebra
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.