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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 both roots of (x^2-14x+m=0) are prime numbers, what is the sum of possible values of (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are roots of (x^2-5x+1=0), what is (\alpha^4+\beta^4)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are roots of (x^2-7x+r=0) and (\alpha^2\beta+\alpha\beta^2=84), what is (r)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat are the roots of the equation \(x^2-(u+2v)x+2uv=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of the equation \(x^2-16x+q=0\) are in the ratio \(5:3\), what is the value of \(q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of 7x² − 6x + λ = 0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\neq0\) and \(c\neq0\), which condition is necessary and sufficient for its two roots to be reciprocals of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the product of the roots of the equation \(x^2-2(a-3)x+a^2-16=0\) is zero, what are the values of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (x^2+ax+b=0) are (\frac{1}{4+\sqrt{3}}) and (\frac{1}{4-\sqrt{3}}), what is the value of (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (x^2-sx+1=0) are (2\tan\theta) and (\frac{1}{2}\cot\theta), what is the correct reality condition on (s)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are the roots of (x^2-13x+36=0), what is (\frac{\alpha}{\beta}+\frac{\beta}{\alpha})?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat are the roots of the equation \(x^2-2(a+2)x+a^2+4a=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf one root of \(x^2-(m+9)x+9m=0\) is \(9\), what is the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of (4x^2-(5t+3)x+t(t+3)=0) are said to be (t) and (\frac{t+3}{4}), when is this statement true?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are roots of (x^2-4x-12=0), what is ((\alpha-5)(\beta-5))?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf both roots of (x^2-6x+c=0) are real and positive, what is the correct condition on (c)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsWhat is the positive difference between the two roots of the quadratic equation \(x^2-2tx+t^2-49=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf (\alpha,\beta) are roots of (x^2-5x-3=0), what is (\alpha^2+5\beta+\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the roots of the quadratic equation \(x^2+ax+b=0\) are \(4+\sqrt{7}\) and \(4-\sqrt{7}\), what is the value of \(a+b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert MathematicsIf the two roots of the equation \(x^2+(m-2)x+25=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationExpert