JEE Main 2018 — Quadratic Equation Question with Solution
JEE Main 2018 (15 Apr Shift 1 Online)
Question
If is such that the sum of the cubes of the roots of the equation, is minimum, then the magnitude of the difference of the roots of this equation is
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Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let, the roots of the equation, are and .
Also roots of the given equation are
The magnitude of the difference of the roots is
So,
As attains its minimum value at .
Therefore, the magintude of the difference of the
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This is a previous-year question from JEE Main 2018, covering the Quadratic Equation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.