JEE Main 2020MathematicsVector AlgebraMediumNumerical

JEE Main 2020 — Vector Algebra Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

If x→ and y→ be two non-zero vectors such that x→+y→=x→ and 2x→+λy→ is perpendicular to y→, then the value of λ is ...... .

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Correct answer
1

Step-by-step explanation

x→+y→2=x→2

⇒  y→2+2x→.y→=0 .....(1)

and 2x→+λy→.y→=0s

⇒  λy→2+2x→.y→=0  .....(2)

by (1) and (2) λ=1

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About this question

This is a previous-year question from JEE Main 2020, covering the Vector Algebra chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.