JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 24 June 2022, Shift 2, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

Let the system of linear equations

x + y + \alpha z = 2

3x + y + z = 4

x + 2z = 1

have a unique solution

(x^*, y^*, z^*)

. If

(\alpha, x^*)

(y^*, \alpha)

and

(x^*, -y^*)

are collinear points, then the sum of absolute values of all possible values of

\alpha

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

Official answer

Option 3

NTA final key.

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Condition for Unique Solution

Same idea in other shifts

Asked 4× in all

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24 Feb 2021, Shift 2 · Q72For the system of linear equations : $x-2y=1$ , $x-y+kz=-2$ , $ky+4z=6$ , $k\in$ R, consider the following statements : (A) The system has…MediumOther
25 Feb 2021, Shift 2 · Q63The following system of linear equations $2x + 3y + 2z = 9$ $3x + 2y + 2z = 9$ $x - y + 4z = 8$ EasySingle correct

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.