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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 the difference between the roots of the equation \(x^2-(k+2)x+2k=0\) is 2, find the values of \(k\).Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard MathematicsIf the quadratic equation \(2x^2+\lambda x+8=0\) has equal roots, what can be the values of \(\lambda\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of (x^2-4x+k=0) are real and reciprocal, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard 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 EquationHard MathematicsIf \(x=2\) is a root of the equation \(kx^2-6x+4=0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich statement is correct about the roots of the equation \(5x^2-2x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard MathematicsIf the two roots of the quadratic equation \(x^2+bx+c=0\) are opposites of each other, which of the following conditions is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationHard 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 EquationHard MathematicsWhen will the real roots of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), be additive inverses of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of (3x^2+px+12=0) are in the ratio (1:4), what are the possible values of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsThe roots of x^2-5x+6=0 are α and β. Which equation has roots α+1 and β+1?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the difference between the roots of (x^2+(a-2)x+a=0) is (3), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha,\beta) are the roots of (x^2-6x+m=0) and (\alpha^3+\beta^3=72), what is (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the quadratic equation \(x^2+2(k-1)x+k+5=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha,\beta) are the roots of (2x^2-7x+3=0), what is the value of ((\alpha-\beta)^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf one root of (x^2+(k-3)x+k=0) is twice the other root, what is the value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha,\beta) are the roots of (3x^2-10x+3=0), which equation has roots (\frac{1}{\alpha},\frac{1}{\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard