JEE Exam  >  JEE Questions  >  If λ be the ratio of the roots of the ... Start Learning for Free
 If λ be the ratio of the roots of the quadratic equation in x, 3m2x2+m(m−4)x+2=0, then the least value of m for whichis
  • a)
    −2+√2
  • b)
    4−3√2
  • c)
    2−√3
  • d)
    4−2√3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If λ be the ratio of the roots of the quadratic equation inx, 3...
Let α,β be the roots of equation,
3m2x2+m(m−4)x+2=0
Given λ is the ratio of the roots.
Then,

Add 2αβ on either sides of the equation.
⇒(α+β)2=3αβ  ⋯(1)
From the given quadratic equation,
Sum of the roots,

Product of the roots = 
Substitute sum and product of the roots in the equation (1).

m≠0⇒(m−4)2=18
⇒m−4=±3√2
∴ m=4±3√2
Explore Courses for JEE exam
If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer?
Question Description
If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer?.
Solutions for If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If λ be the ratio of the roots of the quadratic equation inx, 3m2x2+m(m−4)x+2=0,then the least value of mfor whichisa)−2+√2b)4−3√2c)2−√3d)4−2√3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev