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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 (\alpha,\beta) are roots of (x^2+5x+r=0) and (\alpha^2\beta+\alpha\beta^2=-20), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat are the roots of the quadratic equation \(x^2-(a+b)x+ab=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the two roots of the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), are reciprocals of each other, which relation among the coefficients is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf α and β are the roots of the equation x² − 6x + n = 0 and α² + β² = 20, what is the value of n?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the product of the roots of the equation \(x^2-2(a+1)x+a^2-1=0\) is zero, which values of \(a\) are possible?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of \(x^2+ax+b=0\) are \(\frac{1}{2+\sqrt{3}}\) and \(\frac{1}{2-\sqrt{3}}\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of the quadratic equation \(x^2-2x+k=0\) are \(\tan\theta\) and \(\cot\theta\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (x^2-4x+k=0) are (\sin \theta) and (\cos \theta), what is the maximum possible value of (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-9x+18=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat is the correct conclusion about the roots of (x^2-(2a+1)x+a(a+1)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf one root of (x^2-(m+2)x+3m=0) is (3), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf one root of (x^2-(m-2)x+m-6=0) is (3), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (2x^2-(3t+1)x+t^2+t=0) are (t) and (\frac{t+1}{2}), for which values is this statement true?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-2x-8=0), what is ((\alpha+3)(\beta+3))?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf both roots of (x^2+4x+c=0) are real and negative, which condition is necessary and sufficient?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhich statement is correct about the roots of x^2-2px+p^2-9=0?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha,\beta) are the roots of (x^2-3x-1=0), what is the correct value of (\alpha^2+3\beta+\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-3x-1=0), what is (\alpha^2+3\beta+\alpha\beta) when (\alpha) is the larger root?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of the equation \(x^2+ax+b=0\) are \(2+\sqrt{3}\) and \(2-\sqrt{3}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (2x^2-5x+3=0), what is (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert