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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 the difference between the two zeroes of the polynomial \(p(x)=x^2-6x+s\) is 2, what is the value of \(s\)?Class 10PolynomialsPolynomials in one variableLevel 48Expert MathematicsIf the zeros of the polynomial \(p(x)=x^2+ax+b\) are \(-4\) and \(1\), what is the value of \(b\)?Class 10PolynomialsPolynomials in one variableLevel 47Expert MathematicsIf the sum and product of the zeroes of \(p(x)=x^2-ax+a\) are equal and \(a\ne0\), what can be the value of \(a\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the zeroes of the polynomial \(p(x)=x^2+px+q\) are 4 and −5, what is the value of \(p+q\)?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsIf the sum of the zeroes of a monic quadratic polynomial is -4 and their product is 7, which is the polynomial?Class 10PolynomialsPolynomials in one variableLevel 46Expert MathematicsWhat is the product of the zeroes of the quadratic polynomial \(2x^2-7x+3\)?Class 10PolynomialsPolynomials in one variableLevel 46Hard MathematicsSuppose the quadratic equation \(ax^2+bx+c=0\) has two distinct real roots. Which condition definitely indicates that the roots have opposite signs?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), if \(\frac{c}{a}<0\), which statement about its roots is correct?Class 10Quadratic EquationsNature of RootsLevel 39Expert MathematicsIf the roots of the equation \(x^2+px+42=0\) are \(-6\) and \(-7\), what is the value of \(p\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 36Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+x-6=0\), what is the value of \(\alpha^5+\beta^5\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsWhat are the roots of the quadratic equation \(x^2-(a+b)x+ab=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert 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 EquationLevel 31Expert 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 EquationLevel 33Hard MathematicsThe roots of x^2-px+36=0 are positive integers and their difference is 5. What is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), when will its roots be reciprocals of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf α and β are roots of x^2-4x+3=0, which equation has 3α and 3β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of x^2+px+25=0 are equal and both negative, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf roots of x^2-(a+2)x+2a=0 are 2 and a, which reason is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-10x+21=0\), what is the value of \(\alpha^3+\beta^3\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(4\) and \(-1\), what is the value of \(p-q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard