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

2019 · 9 Apr · Shift 2 · Q34
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. /2019 · 9 Apr · Shift 2 · Q34

Quadratic Equation and Inequalities question

2019 · 9 Apr · Shift 2 · Q34

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
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 :-
  1. A
    434\sqrt 343​
  2. B
    838\sqrt 383​
  3. C
    858\sqrt 585​
  4. D
    10510\sqrt 5105​
PreviousNext

More from Quadratic Equation and Inequalities

  • If both the roots of the quadratic equation x2 − mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval :2019 · MCQ
  • The number of all possible positive integral values of α for which the roots of the quadratic equation, 6x2 − 11x +α = 0 are rational numbers is :2019 · MCQ
  • If α and β are the roots of the quadratic equation, x2 + x sin θ- 2 sin θ= 0, θ∈(0,2π​), then (α−12+β−12).(α−β)24α12+β12​…2019 · MCQ
  • All the pairs (x, y) that satisfy the inequality 2sin2x−2sinx+5​.4sin2y1​≤1 also satisfy the equation2019 · MCQ
  • The number of real roots of the equation 5 + |2x – 1| = 2x (2x – 2) is2019 · MCQ
  • Consider the quadratic equation (c – 5)x2 – 2cx + (c – 4) = 0, c e 5. Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the…2019 · MCQ
  • The value of λ such that sum of the squares of the roots of the quadratic equation, x2 + (3 –λ)x + 2 = λ has the least value is -2019 · MCQ
  • If one real root of the quadratic equation 81x2 + kx + 256 = 0 is cube of the other root, then a value of k is2019 · MCQ