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Class 10 Mcq

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

MathematicsIf (x^2-sx+9=0) has equal and positive roots, what is (s)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich is the correct pair of roots of x^2+3x-18=0?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsWhat are the two roots of the equation \(4x^2-4x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(x=0\) is a root of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), which of the following conditions must be true?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsThe difference between the two roots of the equation \(x^2+6x+r=0\) is \(2\sqrt{5}\). What is the value of \(r\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha,\beta) are roots of (x^2-4x+2=0), what is ((\alpha+2)(\beta+2))?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (2x^2+kx+2=0) has equal and negative roots, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation \(x^2-10x+k=0\) are distinct prime numbers, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich statement is always true about x^2-(a+3)x+3a=0?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium 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 EquationHard 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 EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+1=0\), what is the value of \(\alpha^2+\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsFor the equation x² − 2(k + 1)x + k² = 0 to have real and distinct roots, what condition must k satisfy?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are roots of x^2+px+q=0 and α+1 and β+1 are roots of x^2-5x+6=0, what are p and q?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich quadratic equation has roots (\frac{1}{2}) and (\frac{3}{4})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard MathematicsIf the quadratic equation \(x^2+kx+16=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard MathematicsFor the equation \(x^2-2x+(p+3)=0\) to have no real roots, what is the correct condition on \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsFor the general quadratic equation ax^2+bx+c=0, which relation is correct when the roots are equal?Class 10Quadratic EquationsNature of RootsMedium