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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 U = {1, 2, …, 96}, A = {x : x is divisible by 6}, and B = {x : x is divisible by 8}, what is |(A ∪ B)′|?Class 10SetsComplement of a Set and Its PropertiesMedium MathematicsIf (\alpha) and (\beta) are roots of (x^2-11x+24=0), what is the value of (\frac{1}{\alpha+1}+\frac{1}{\beta+1})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-3x-28=0\), what is the value of \((\alpha+1)(\beta+1)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-5x+5=0), what is the value of (\alpha^2+\beta^2+\alpha\beta)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf a new equation is formed by taking reciprocals of the roots of (x^2-7x+10=0), which monic equation is obtained?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich quadratic equation has real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-14x+45=0), what is the value of (\frac{\alpha^2+\beta^2}{\alpha\beta})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the two roots of the equation \(x^2+kx+49=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4x-5=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are roots of x^2 - 9x + 20 = 0, what can be the value of (α + β)/(α - β)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-8x+12=0\), what is the value of \(\alpha^2\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10x+24=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhich of the following is the correct pair of roots of the quadratic equation \(x^2-(2m+3)x+(m+1)(m+2)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2+2x-2=0), what is the value of (\alpha^2+\alpha\beta+\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are the roots of the equation x² − 6x + 2 = 0, what is the value of α² + β²?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the equation \(x^2+px+q=0\) are \(5\) and \(-2\), what is the value of \(p-q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation \(5x^2+px+q=0\) are \(3\) and \(-4\), what is the value of \(\frac{q}{5}\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-9x+18=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the two roots of the equation \(x^2-2(m+2)x+(m+2)^2=0\) are equal, which statement about \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the quadratic equation \(x^2-4x+(m+4)=0\) has no real roots, which condition on \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationHard