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Class 10 Mathematics

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the nature of roots in the equation (2x^2-7x+3=0)?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), under which condition are its roots non-real?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsWhat is the discriminant \(D\) of the equation \(2x^2+5x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsWhich is the nature of roots in the equation (9x^2-6x+1=0)?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsFor a quadratic equation with real coefficients, if the discriminant \(D<0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsWhat is the nature of the roots of the equation \(x^2-4x+8=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhich quadratic equation has a pair of non-real (imaginary) roots?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhich of the following quadratic equations will have two real and equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhat is the nature of the roots of the quadratic equation \(5x^2+x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhich factorised form of the equation \(7x^2-19x-6=0\) is correct for solving it?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 35Expert MathematicsWhich of the following quadratic equations has real, distinct, and irrational roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\neq0\) and \(c\neq0\), which condition is necessary and sufficient for its two roots to be reciprocals of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhich quadratic equation has real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf α and β are roots of x^2 - 9x + 20 = 0, what can be the value of (α + β)/(α - β)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsWhich of the following quadratic equations has real and distinct roots that are irrational?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with integer coefficients, where \(a\ne0\), which condition ensures that both roots are distinct real irrational numbers? Here, the discriminant is \(\Delta=b^2-4ac\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich of the following quadratic equations has two equal real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat condition must the discriminant of a quadratic equation satisfy for it to have two real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich of the following quadratic equations has two distinct real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsA student says that the equation \(x^2-6x+9=0\) has two distinct real roots because its discriminant is not less than zero. What is the error in the student's statement?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium