JEE Main 2025MathematicsQuadratic EquationMediumMCQ

JEE Main 2025Quadratic Equation Question with Solution

JEE Main 2025 (28 Jan Shift 1)

Question

The sum, of the squares of all the roots of the equation , is

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

Only is acceptable root For $\begin{aligned} & x^2-2 x-1=0 \\ & x=\frac{2 \pm \sqrt{4+4}}{2}=1 \pm \sqrt{2} \end{aligned}$ Only is acceptable Sum of the square

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About this question

This is a previous-year question from JEE Main 2025, 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.