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

2024 · 9 Apr · Shift 1 · Q42
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. /2024 · 9 Apr · Shift 1 · Q42

Quadratic Equation and Inequalities question

2024 · 9 Apr · Shift 1 · Q42

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1
Let α,β\alpha, \betaα,β be the roots of the equation x2+22x−1=0x^2+2 \sqrt{2} x-1=0x2+22​x−1=0. The quadratic equation, whose roots are α4+β4\alpha^4+\beta^4α4+β4 and 110(α6+β6)\frac{1}{10}(\alpha^6+\beta^6)101​(α6+β6), is:
  1. A
    x2−180x+9506=0x^2-180 x+9506=0x2−180x+9506=0
  2. B
    x2−195x+9506=0x^2-195 x+9506=0x2−195x+9506=0
  3. C
    x2−190x+9466=0x^2-190 x+9466=0x2−190x+9466=0
  4. D
    x2−195x+9466=0x^2-195 x+9466=0x2−195x+9466=0
PreviousNext

More from Quadratic Equation and Inequalities

  • Let α,β;α>β, be the roots of the equation x2−2​x−3​=0. Let Pn​=αn−βn,n∈N. Then (113​−102​)P10​+(112​+10)P11​−11P12​…2024 · MCQ
  • If α,β are the roots of the equation, x2−x−1=0 and Sn​=2023αn+2024βn, then :2024 · MCQ
  • Let the set C={(x,y)∣x2−2y=2023,x,y∈N}. Then ∑(x,y)∈C​(x+y) is equal to ​.2024 · Numerical
  • Let α,β∈N be roots of the equation x2−70x+λ=0, where 2λ​,3λ​otinN. If λ assumes the minimum possible value, then ∣α−β∣(α−1​+β−1​)(λ+35)​…2024 · Numerical
  • The number of real solutions of the equation x(x2+3∣x∣+5∣x−1∣+6∣x−2∣)=0 is ​.2024 · Numerical
  • Let S be the set of positive integral values of a for which x2−8x+32ax2+2(a+1)x+9a+4​<0,∀x∈R. Then, the number of elements in S is :2024 · MCQ
  • Let a,b,c be the lengths of three sides of a triangle satistying the condition (a2+b2)x2−2b(a+c)x+(b2+c2)=0. If the set of all possible values of x is the interval (α,β), then 12(α2+β2)…2024 · Numerical
  • Let S={x:x∈Rand(3​+2​)x2−4+(3​−2​)x2−4=10}. Then n(S) is equal to2023 · MCQ