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Roots Of Quadratic Equation

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

MathematicsIf the roots of the quadratic equation \(x^2-10x+k=0\) are distinct prime numbers, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-5x+1=0\), what is the value of \(\alpha^2+\beta^2\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsFor the equation \(x^2-2x+(p+3)=0\) to have no real roots, what is the correct condition on \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf the difference between the roots of the equation \(x^2-(k+2)x+2k=0\) is 2, find the values of \(k\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsWhich statement is correct about the roots of the equation \(5x^2-2x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf the equation \(kx^2-2(k+1)x+(k+4)=0\) has equal roots, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33HardMathematicsIf \(\alpha\) 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 EquationLevel 32HardMathematicsIf the roots of the equation \(x^2+px+q=0\) are \(-3\) and \(-4\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf the roots of the quadratic equation \(2x^2+px+8=0\) are \(-1\) and \(-4\), what is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf calphac and cbetac are the roots of cx^2-7x+10=0c, what is the value of (alpha-1)(beta-1)c?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf \(\alpha\) 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 31HardMathematicsIf the roots of the quadratic equation \(x^2+6x+k=0\) are \(-2\) and \(-4\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf the roots of the quadratic equation x² − (m + 2)x + 12 = 0 are 3 and 4, what is the value of m?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf 2 and 3 are the roots of the equation \(ax^2+bx+6=0\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsIf (alpha+beta=-7) and (alphabeta=-18), which monic quadratic equation has alpha and beta as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf the roots of the quadratic equation \(x^2+mx+30=0\) are \(-5\) and \(-6\), what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf (alpha) and (beta) are the roots of (x^2-9x+20=0), what is the value of (alpha+beta+alphabeta)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat is the product of the roots of the equation \(7x^2+4x-9=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhich quadratic equation has 3 and −8 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsIf 8\alpha+\beta=-59 and 8\alpha\beta=-149, which monic quadratic equation has 8\alpha9 and 8\beta9 as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium