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Quadratic Equations

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

MathematicsUsing the zero-product rule, what are the solutions of x(x−4)=0?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Easy MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+x-6=0\), what is the value of \(\alpha^5+\beta^5\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf one root of the equation \(4x^2-(4h+1)x+h=0\) is \(\frac{1}{4}\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhich of the following quadratic equations has real, distinct, and irrational roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat are the roots of the equation \(x^2-(u+2v)x+2uv=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of the equation \(x^2-16x+q=0\) are in the ratio \(5:3\), what is the value of \(q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of 7x² − 6x + λ = 0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium 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 MathematicsIf the product of the roots of the equation \(x^2-2(a-3)x+a^2-16=0\) is zero, what are the values of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf one root of \(x^2-(m+9)x+9m=0\) is \(9\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat is the positive difference between the two roots of the quadratic equation \(x^2-2tx+t^2-49=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the roots of the quadratic equation \(x^2+ax+b=0\) are \(4+\sqrt{7}\) and \(4-\sqrt{7}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the two roots of the equation \(x^2+(m-2)x+25=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat is the correct condition on \(a\) for the quadratic equation \(9x^2-6(a-1)x+a^2-4a-5=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhich statement is always correct about x² − (a + 8)x + 8a = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf one root of 2x² − (3p + 2)x + p(p + 2) = 0 is p, what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf the sum of the roots of a quadratic equation is 7 and their product is 10, which is its monic quadratic equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the equation \(x^2-2mx+(m^2-m)=0\) has real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsWhat is the positive difference between the two roots of \\(x^2-2kx+k^2-25=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the two roots of the equation \(x^2-(u+v+2)x+(u+1)(v+1)=0\) are equal, which of the following statements is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert