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Quadratic Roots

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

MathematicsIf (x^2-2(k+2)x+k^2+5=0) has equal roots, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the difference between the roots of (3x^2-11x+p=0) is (\frac{5}{3}), what is the value of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf (\alpha,\beta) are roots of (x^2-6x+8=0), what is ((\alpha-2)(\beta-2))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (x^2-sx+9=0) has equal and positive roots, what is (s)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhich is the correct pair of roots of x^2+3x-18=0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (\alpha,\beta) are roots of (x^2-4x+2=0), what is ((\alpha+2)(\beta+2))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (2x^2+kx+2=0) has equal and negative roots, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor (x^2+2x+c=0), the roots are real and their product is less than their sum. What is the correct condition on (c)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (x^2+mx+n=0), (\alpha-\beta=4), and (\alpha\beta=5), what is (m^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of a quadratic equation are (3) and (-2), and the coefficient of (x^2) is (2), which is the equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhich quadratic equation has roots (\frac{1}{2}) and (\frac{3}{4})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf one root of (x^2+ax+12=0) is (3) more than the other root, what are the possible values of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (2x^2+3x-5=0), what is (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are roots of (x^2-7x+10=0), what is (\frac{1}{\alpha-1}+\frac{1}{\beta-1})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of (x^2-4x+k=0) are real and reciprocal, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the roots of a quadratic equation are (2+\sqrt{5}) and (2-\sqrt{5}), which is the equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2-3x-2=0), which equation has roots (\alpha^2,\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsCan the sum of the roots of ((m+1)x^2-2(m-1)x+(m-3)=0) be (2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf (\alpha,\beta) are the roots of (x^2+4x+1=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor (kx^2+6x+9=0) to have real roots with (k\ne0), which condition on (k) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard