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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 \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-4x-5=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-10x+24=0\), what is the value of \((\alpha-2)(\beta-2)\)?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 \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-9x+18=0\), what is the value of \((\alpha-2)(\beta-2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of the equation \(x^2-9x+c=0\) are in the ratio \(1:2\), what is the value of \(c\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 1 is added to each root of the equation \(x^2-6x-16=0\), which monic equation is formed from the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+12=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-2x-8=0\), what is the value of \(\left(\alpha+3\right)\left(\beta+3\right)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsWhich pair gives the roots of the equation \(x^2-(2m+1)x+m(m+1)=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf alpha and beta are the roots of the equation x^2-4x+1=0, what is the value of alpha^2+beta^2?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf 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 31Hard MathematicsIf the two roots of the quadratic equation \(x^2+bx+9=0\) are equal and positive, what is the value of \(b\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the difference of roots of (x^2-5x+q=0) is (1), what is the value of (q)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsFor the quadratic equation \(x^2-22x+121=0\), what are the sum and product of its roots, respectively?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (alpha+beta=-7) and (alphabeta=-18), which monic quadratic equation has alpha and beta as its roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf the roots of a quadratic equation \(ax^2+bx+d=0\) are \(c\) and \(-c\), what is the value of the ratio \(\frac{d}{a}\) of the constant term to the leading coefficient?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsWhat are the roots of the equation \(10x^2-17x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf 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 33Medium MathematicsIf the sum of the roots of a quadratic equation is 0 and their product is −36, which is its monic equation?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Medium MathematicsIf (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 33Medium