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

2025 · 4 Apr · Shift 1 · Q30
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. /2025 · 4 Apr · Shift 1 · Q30

Quadratic Equation and Inequalities question

2025 · 4 Apr · Shift 1 · Q30

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Consider the equation x2+4x−n=0x^2+4 x-n=0x2+4x−n=0, where n∈[20,100]n \in[20,100]n∈[20,100] is a natural number. Then the number of all distinct values of nnn, for which the given equation has integral roots, is equal to
  1. A
    6
  2. B
    5
  3. C
    8
  4. D
    7
PreviousNext

More from Quadratic Equation and Inequalities

  • Let the set of all values of p∈R, for which both the roots of the equation x2−(p+2)x+(2p+9)=0 are negative real numbers, be the interval (α,β]. Then β−2α is equal to2025 · MCQ
  • The number of real roots of the equation x∣x−2∣+3∣x−3∣+1=0 is :2025 · MCQ
  • The sum of the squares of the roots of ∣x−2∣2+∣x−2∣−2=0 and the squares of the roots of x2−2∣x−3∣−5=0, is2025 · MCQ
  • Let αθ​ and βθ​ be the distinct roots of 2x2+(cosθ)x−1=0,θ∈(0,2π). If m and M are the minimum and the maximum values of αθ4​+βθ4​, then 16(M+m) equals :2025 · MCQ
  • If the equation a(b−c)x2+b(c−a)x+c(a−b)=0 has equal roots, where a+c=15 and b=536​, then a2+c2…2025 · Numerical
  • The product of all the rational roots of the equation (x2−9x+11)2−(x−4)(x−5)=3, is equal to2025 · MCQ
  • The number of real solution(s) of the equation x2+3x+2=min{∣x−3∣,∣x+2∣} is :2025 · MCQ
  • The sum, of the squares of all the roots of the equation x2+∣2x−3∣−4=0, is2025 · MCQ