Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Quadratic Equation and Inequalities question

2023 · 24 Jan · Shift 1 · Q37
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Quadratic Equation and Inequalities
  5. /2023 · 24 Jan · Shift 1 · Q37

Quadratic Equation and Inequalities question

2023 · 24 Jan · Shift 1 · Q37

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1
Let λ∈R\lambda \in \mathbb{R}λ∈R and let the equation E be ∣x∣2−2∣x∣+∣λ−3∣=0|x{|^2} - 2|x| + |\lambda - 3| = 0∣x∣2−2∣x∣+∣λ−3∣=0. Then the largest element in the set S = {x+λ:xx+\lambda:xx+λ:x is an integer solution of E} is ‾\underline{\hspace{2cm}}​
Numerical answer
PreviousNext

More from Quadratic Equation and Inequalities

  • The number of real solutions of the equation 3(x2+x21​)−2(x+x1​)+5=0, is2023 · MCQ
  • Let α∈R and let α,β be the roots of the equation x2+6041​x+a=0. If α4+β4=−30, then the product of all possible values of a is ​.2023 · Numerical
  • Let λe0 be a real number. Let α,β be the roots of the equation 14x2−31x+3λ=0 and α,γ be the roots of the equation 35x2−53x+4λ=0. Then β3α​ and γ4α​…2023 · MCQ
  • Let α1​,α2​,....,α7​ be the roots of the equation x7+3x5−13x3−15x=0 and ∣α1​∣≥∣α2​∣≥...≥∣α7​∣. Then α1​α2​−α3​α4​+α5​α6​ is…2023 · Numerical
  • If the value of real number a>0 for which x2−5ax+1=0 and x2−ax−5=0 have a common real root is 2β​3​ then β is equal to ​.2023 · Numerical
  • The number of real roots of the equation x2−4x+3​+x2−9​=4x2−14x+6​, is :2023 · MCQ
  • The equation e4x+8e3x+13e2x−8ex+1=0,x∈R has :2023 · MCQ
  • If the sum of the squares of the reciprocals of the roots α and β of the equation 3x2 +λ x − 1 = 0 is 15, then 6(α 3 + β 3)2 is equal to :2022 · MCQ