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

2021 · 27 Jul · Shift 1 · Q36
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. /2021 · 27 Jul · Shift 1 · Q36

Quadratic Equation and Inequalities question

2021 · 27 Jul · Shift 1 · Q36

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let α\alphaα, β\betaβ be two roots of the equation x2 + (20)1/4x + (5)1/2 = 0. Then α\alphaα 8 + β\betaβ 8 is equal to
  1. A
    10
  2. B
    100
  3. C
    50
  4. D
    160
PreviousNext

More from Quadratic Equation and Inequalities

  • Let α=x∈Rmax​{82sin3x.44cos3x} and β=x∈Rmin​{82sin3x.44cos3x}. If 8x2+bx+c=0 is a quadratic equation whose roots are α…2021 · MCQ
  • The number of real roots of the equation e4x − e3x − 4e2x − ex + 1 = 0 is equal to ​.2021 · Numerical
  • cosec18 ∘ is a root of the equation :2021 · MCQ
  • The sum of the roots of the equation x+1−2log2​(3+2x)+2log4​(10−2−x)=0, is :2021 · MCQ
  • Let α and β be the roots of the equation 5x2 + 6x – 2 = 0. If Sn =α n + β n, n = 1, 2, 3...., then :2020 · MCQ
  • Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in :2020 · MCQ
  • If α and β are the roots of the equation x2 + px + 2 = 0 and α1​ and β1​ are the roots of the equation 2x2 + 2qx + 1 = 0, then (α−α1​)(β−β1​)(α+β1​)(β+α1​)…2020 · MCQ
  • The set of all real values of λ for which the quadratic equations, (λ 2 + 1)x2 – 4 λ x + 2 = 0 always have exactly one root in the interval (0, 1) is :2020 · MCQ