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Roots Of A Quadratic Equation

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

MathematicsWhat are the roots of 7x² + 8x + 1 = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 35Medium MathematicsIf x² − 5x = 0 is divided by x and only x − 5 = 0 is written, which root is missed?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 35Easy MathematicsWhat are the roots of x² − 16x = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 34Easy 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 MathematicsIf the roots of 7x² − 6x + λ = 0 are not real, what is the correct condition on λ?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich statement is always correct about x² − (a + 8)x + 8a = 0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf one root of (2x^2-(3p+2)x+p(p+2)=0) is (p), what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsWhich statement is always true for (x^2-(a+6)x+6a=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsWhat is the correct conclusion about the roots of (x^2-(2a+1)x+a(a+1)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich statement is correct about the roots of (x^2-2px+p^2-9=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich statement is always true for (x^2-(a+4)x+4a=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (α,β) are the roots of (x^2-6x+5=0), which equation has roots (3α-2) and (3β-2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich is the correct pair of roots of (x^2+3x-18=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhich statement is always true about x^2-(a+3)x+3a=0?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf α and β are roots of x^2+px+q=0 and α+1 and β+1 are roots of x^2-5x+6=0, what are p and q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard 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 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 EquationLevel 32Hard MathematicsIf c(\alphac) and c(\betac) are the roots of the equation c(x^2-6x+2=0c), what is the value of c(\alpha^2+\beta^2c)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard 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 EquationLevel 32Hard