JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 28 July 2022, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Let

P(-2,-1,1)

and

Q\left(\frac{56}{17},\frac{43}{17},\frac{111}{17}\right)

be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are

\alpha,-1,\beta

, where both

\alpha

and

\beta

are integers of minimum absolute values, then

\alpha^2+\beta^2

is equal to __________.

Official answer

450

NTA final key (2022 Session 2).

Chapter: Three Dimensional Geometry
Topic: Dot Product
Idea tested: Perpendicular Diagonals of a Rhombus

Same topic in other shifts

All Dot Product questions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.