JEE Main 2017 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2017 (offline), Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30.

If S is the set of distinct values of 'b' for which the following system of linear equations

x+y+z=1

x+ay+z=1

ax+by+z=0

has no solution, then S is :

(1)an infinite set
(2)a finite set containing two or more elements
(3)a singletonOfficial answer
(4)an empty set

Official answer

Option 3

CBSE answer key (25/04/2017, used for result).

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Condition for No Solution

Same idea in other shifts

Asked 6× in all

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2 Sep 2020, Shift 1 · Q55Let $S$ be the set of all $\lambda\in\mathbf{R}$ for which the system of linear equations $2x-y+2z=2$ $x-2y+\lambda z=-4$ …MediumSingle correct

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); 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.