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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 \(x^2+mx+30=0\) are \(-5\) and \(-6\), what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat are the roots of \\(4x^2+3x-10=0\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf \(x=0\) is a root of the equation \(2x^2+mx+n=0\), what is the value of \(n\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the repeated root of the equation \(25x^2-10x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the sum of the roots of a quadratic equation is 0 and their product is −36, which is its monic equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf (alpha) and (beta) are the roots of (x^2-9x+20=0), what is the value of (alpha+beta+alphabeta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat are the roots of (x^2+2x-35=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat 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 33MediumMathematicsIf a quadratic equation has \(a=1\), \(b=-20\), and \(c=100\), what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the nature of the roots of 25x² − 30x + 9 = 0?Class 10Quadratic EquationsNature of RootsLevel 33MediumMathematicsIf both roots of the equation \(x^2+px+36=0\) are \(-6\), what is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf x + 6 and x − 2 are factors of a quadratic equation, what are its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsOne root of the equation \(x^2-17x+70=0\) is 7. What is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the sum of roots is 11 and their product is 28, which monic quadratic equation is formed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhich of the following quadratic equations has two distinct real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhich statement is correct about the real roots of the equation \(x^2-6x+20=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsA 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 33MediumMathematicsWhat is the discriminant (D) of the quadratic equation \(4x^2-20x+25=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the product of the roots of the equation \(7x^2+4x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the sum of roots of 6x² − 13x + 5 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium

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