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Roots And Coefficients

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

MathematicsIf one root of the quadratic equation \(x^2-5x+q=0\) is 2, what is the value of \(q\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Hard 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 the roots of the quadratic equation \(x^2+px+12=0\) are \(-3\) and \(-4\), what is the value of \(p\)?Class 10Quadratic EquationsMethods of Solving Quadratic EquationsLevel 34Medium MathematicsIf the roots of \\(x^2+px+q=0\\) are \\(-4\\) and \\(9\\), what is the value of \\(p-q\\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the two roots of the quadratic equation \(x^2-(u+v)x+uv=0\) are equal, which relation between \(u\) and \(v\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert 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 EquationLevel 32Hard MathematicsWhich quadratic equation has 6 and −2 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Easy MathematicsIf one root of the equation \(x^2-(m+5)x+5m=0\) is \(5\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf 5 and 6 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the roots of (x^2+px+q=0) are (2) and (p), which relation involving (q) is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the roots of the quadratic equation \(x^2+bx+c=0\) are \(-3\) and \(8\), what is the value of \(b+c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the two roots of the quadratic equation \(x^2+bx+49=0\) are equal and each root is \(-7\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf one root of the equation \(x^2-(m+4)x+4m=0\) is \(4\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf 4 and 5 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf both roots of the quadratic equation \(x^2+bx+25=0\) are equal and each root is \(-5\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Hard MathematicsIf the zeros of \(p(x)=x^2-6x+n\) are \(3+\sqrt{m}\) and \(3-\sqrt{m}\), and \(n=5\), what is the value of \(m\)?Class 10PolynomialsIrrational numbers and real numbersLevel 26Hard