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

2021 · 26 Aug · Shift 2 · Q43
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. /2021 · 26 Aug · Shift 2 · Q43

Quadratic Equation and Inequalities question

2021 · 26 Aug · Shift 2 · Q43

JEE MainMathematicsQuadratic Equation and InequalitiesNumerical+4 / −1
Let λe\lambda eλe 0 be in R. If α\alphaα and β\betaβ are the roots of the equation x2 −-− x + 2 λ\lambdaλ= 0, and α\alphaα and γ\gammaγ are the roots of equation 3x2 −-− 10x + 27 λ\lambdaλ= 0, then βγλ{{\beta \gamma } \over \lambda }λβγ​ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Quadratic Equation and Inequalities

  • The sum of 162th power of the roots of the equation x3 − 2x2 + 2x − 1 = 0 is ​.2021 · Numerical
  • Let α and β be two real numbers such that α+β= 1 and αβ=− 1. Let pn = (α)n + (β)n, pn − 1 = 11 and pn+1 = 29 for some integer n ≥ 1. Then, the value of p n2​ is ​…2021 · Numerical
  • The set of all values of K > − 1, for which the equation (3x2+4x+3)2−(k+1)(3x2+4x+3)(3x2+4x+2)+k(3x2+4x+2)2=0 has real roots, is :2021 · MCQ
  • Let α, β be two roots of the equation x2 + (20)1/4x + (5)1/2 = 0. Then α 8 + β 8 is equal to2021 · MCQ
  • Let α=x∈Rmax​{82sin3x.44cos3x} and β=x∈Rmin​{82sin3x.44cos3x}. If 8x2+bx+c=0 is a quadratic equation whose roots are α…2021 · MCQ
  • The number of real roots of the equation e4x − e3x − 4e2x − ex + 1 = 0 is equal to ​.2021 · Numerical
  • cosec18 ∘ is a root of the equation :2021 · MCQ
  • The sum of the roots of the equation x+1−2log2​(3+2x)+2log4​(10−2−x)=0, is :2021 · MCQ