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

MathematicsIf one zero of the polynomial \(p(x)=x^2-10x+r\) is \(4\), what is its other zero?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of the polynomial \(x^2-10x+q\) are \(2r\) and \(3r\), what is the value of \(q\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf \(\alpha\) and \(\beta\) are the zeroes of \(x^2-8x+k\) and \(\alpha-\beta=2\), what is the value of \(k\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsIf the product of the roots of the equation \(x^2-2(a-2)x+a^2-9=0\) is zero, what are the values of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(5\), what is the value of \(p-q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert 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 EquationLevel 31Expert MathematicsIf the roots of the quadratic equation \(x^2-(m+1)x+m=0\) are reciprocals of each other, what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard 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 EquationLevel 33Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+4=0\), what is the sum of \((\alpha+2)\) and \((\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(x=2\) and \(x=7\) are the roots of a monic quadratic equation, what is the coefficient of \(x\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf 7 and 8 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+2x-8=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the zeros of \(p(x)=x^2-kx+1\) are \(2+\sqrt{3}\) and \(2-\sqrt{3}\), what is the value of \(k\)?Class 10PolynomialsIrrational numbers and real numbersLevel 28Hard