JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 August 2021, Shift 1, Maths Q64

Question 64 of 90 in this shift, Maths question 4 of 30, Section A.

For the system of linear equations

x + 3y + 2z = 7

x + \lambda y + 3z = 8

x - 2y + 7z = \mu

, which of the following statements is NOT true?

(1)The system has infinitely many solutions if $\lambda = 2$ and $\mu = 12$ .
(2)The system has no solution if $\lambda = 2$ and $\mu \neq 12$ .
(3)The system has a unique solution if $\lambda \neq 2$ and $\mu = 12$ .
(4)The system has no solution if $\lambda \neq 2$ and $\mu \neq 12$ .Official answer

Official answer

Option 4

NTA final key.

Chapter: Determinants
Topic: Cramer's Rule
Idea tested: Evaluating Parameters for Consistency

Same idea in other shifts

Asked 15× in all

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.