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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।

MathematicsIf the roots of the quadratic equation \(x^2-4x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation \(x^2+6x+k=0\) are \(-2\) and \(-4\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(-5\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of the quadratic equation x² − (m + 2)x + 12 = 0 are 3 and 4, what is the value of m?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf 2 and 3 are the roots of the equation \(ax^2+bx+6=0\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhat is the nature of the roots of the equation \(x^2-2kx+k^2=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsFor the quadratic equation \(x^2-22x+121=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf x = 4 is a root of ax² − 10x + 8 = 0, what is the value of a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the sum of the squares of the roots of the equation \(x^2-9x+14=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (alpha+beta=-7) and (alphabeta=-18), which monic quadratic equation has alpha and beta as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of a quadratic equation \(ax^2+bx+d=0\) are \(c\) and \(-c\), what is the value of the ratio \(\frac{d}{a}\) of the constant term to the leading coefficient?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the equation \(10x^2-17x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of the equation \(x^2+ax+25=0\) are \(5\) and \(5\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the necessary and sufficient condition on \(k\) for the equation \(x^2+6x+k=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf α and β are roots of 6x² + 5x − 4 = 0, what is αβ?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich of the following quadratic equations has two equal real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the positive difference between the two roots of the equation \(x^2-8x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the discriminant of a quadratic equation is \(D=0\) and the sum of its roots is \(14\), what is the value of each root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat is the positive root of the equation \(x^2-7x-30=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of a quadratic equation are 6 and 1/6, which statement is correct about them?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium