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

2020 · 8 Jan · Shift 1 · Q22
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. /2020 · 8 Jan · Shift 1 · Q22

Quadratic Equation and Inequalities question

2020 · 8 Jan · Shift 1 · Q22

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1
The least positive value of 'a' for which the equation 2x2 + (a – 10)x + 332{{33} \over 2}233​ = 2a has real roots is
Numerical answer
PreviousNext

More from Quadratic Equation and Inequalities

  • Let α=2−1+i3​​. If a=(1+α)k=0∑100​α2k and b=k=0∑100​α3k, then a and b are the roots of the quadratic equation :2020 · MCQ
  • Let S be the set of all real roots of the equation, 3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :2020 · MCQ
  • The number of real roots of the equation, e4x + e3x – 4e2x + ex + 1 = 0 is :2020 · MCQ
  • Let a, b ∈ R, a e 0 be such that the equation, ax2 – 2bx + 5 = 0 has a repeated root α, which is also a root of the equation, x2 – 2bx – 10 = 0. If β is the other root of this equation, then α 2 + β 2 is…2020 · MCQ
  • The sum of the solutions of the equation ∣x​−2∣+x​(x​−4)+2=0 (x > 0) is equal to:2019 · MCQ
  • The number of integral values of m for which the equation (1 + m2 )x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is :2019 · MCQ
  • Let p, q ∈ R. If 2 - 3​ is a root of the quadratic equation, x2 + px + q = 0, then :2019 · MCQ
  • If m is chosen in the quadratic equation (m2 + 1) x2 – 3x + (m2 + 1)2 = 0 such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-2019 · MCQ