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

2022 · 30 Jun · Shift 1 · Q25
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. /2022 · 30 Jun · Shift 1 · Q25

Quadratic Equation and Inequalities question

2022 · 30 Jun · Shift 1 · Q25

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let S be the set of all integral values of α\alphaα for which the sum of squares of two real roots of the quadratic equation 3x2+(α−6)x+(α+3)=03{x^2} + (\alpha - 6)x + (\alpha + 3) = 03x2+(α−6)x+(α+3)=0 is minimum. Then S :
  1. A
    is an empty set
  2. B
    is a singleton
  3. C
    contains exactly two elements
  4. D
    contains more than two elements
PreviousNext

More from Quadratic Equation and Inequalities

  • The numbers of pairs (a, b) of real numbers, such that whenever α is a root of the equation x2 + ax + b = 0, α 2 − 2 is also a root of this equation, is :2021 · MCQ
  • Let f(x) be a polynomial of degree 3 such that f(k)=−k2​ for k = 2, 3, 4, 5. Then the value of 52 − 10f(10) is equal to :2021 · Numerical
  • The value of 4+5+4+5+4+......∞1​1​1​1​ is :2021 · MCQ
  • The value of 3+4+3+4+3+....∞1​1​1​1​ is equal to2021 · MCQ
  • If α and β are the distinct roots of the equation x2+(3)1/4x+31/2=0, then the value of α96(α12−1)+β96(β12−1) is equal to :2021 · MCQ
  • Let [x] denote the greatest integer less than or equal to x. Then, the values of x ∈ R satisfying the equation [ex]2+[ex+1]−3=0 lie in the interval :2021 · MCQ
  • Let p and q be two positive numbers such that p + q = 2 and p4+q4 = 272. Then p and q are roots of the equation :2021 · MCQ
  • The number of the real roots of the equation (x+1)2+∣x−5∣=427​ is ​.2021 · Numerical