Quadratic Equations and Inequalities questions
963 published questions with worked solutions.
- The number of real roots of 3^ 2x^2-7x+7 =9 is
- For what value of the sum of the squares of the roots of x^2+(2+ )x- 12(1+ )=0 is minimum?
- If and be the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0, then the equation whose roots are ( + )^2 and ( - )^2, is
- The number which exceeds its positive square roots by 12, is
- If x is real, then the maximum and minimum values of the expression x^2-3x+4 x^2+3x+4 will be
- Consider the following statements: 1. If the ratio of roots of the quadratic equation ax^2+bx+c=0 be p:q, then pqb^2=(p+q)^2ac....
- Consider the following statements: 1. If the quadratic equation is ax^2+bx+c=0 such that a+b+c=0, then roots of the equation...
- Let a,b,c be real number a 0. If is a root of a^2x^2+bx+c=0, is a root of a^2x^2-bx-c=0 and 0< < , then the equation...
- If the roots of the equation ax^2+bx+c=0 be and , then the roots of the equation cx^2+bx+a=0 are
- The values of a for which 2x^2-2(2a+1)x+a(a+1)=0 may have one root less than a and other root greater than a are given by
- The values of a' for which (a^2-1 )x^2+2(a-1)x+2 is positive for any x, are
- If roots of the equation ax^2+bx+c=0; (a,b,c N) are rational numbers, then which of the following cannot be true?
- If (ax^2+c )y+ (dx^2+c' )=0 and x is a rational function of y and ac is negative, then
- If x,y,z are real and distinct, then u=x^2+4y^2+9z^2-6yz-3zx-2xy is always
- How many roots of the equation x- 1 x-1 =1- 2 x-1 have?
- If , be the roots of the equation x^2-px+q=0 and _1, _1 be the roots of the equation x^2-qx+p=0, then the equation whose roots...
- If p(x)=ax^2+bx+c and Q(x)=-ax^2+dx+c, where ac 0, then P(x)Q(x)=0 has at least
- If the difference of the roots of the equation x^2-bx+c=0 be 1, then
- Let , be the roots of the equation x^2-x+p=0 and , be the roots of x^2-4x+q=0. If , , , are in GP, then integral values of p,q...
- If , are the roots of the equation ax^2+bx+c=0, then the equation whose roots are + 1 and + 1 is
Other chapters
Alcohols, Phenols and EthersAldehydes, Ketones and Carboxylic AcidsAlternating CurrentAminesAnatomy of Flowering PlantsAncient Indian HistoryAnimal KingdomApplication of DerivativesArea Under CurveAromatic Compounds and Aryl HalidesAtomsBasic Mathematics and LogarithmBinomial TheoremBiodiversity and ConservationBiological ClassificationBiomoleculesBiotechnology and Its ApplicationsBiotechnology: Principles and ProcessesBody Fluids and CirculationBreathing and Exchange of GasesCell Cycle and Cell DivisionCell: The Unit of LifeChemical Bonding and Molecular StructureChemical Coordination and Integration