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Quadratic Equations

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

MathematicsIf () and () are the roots of (x^2-12x+36=0), what is the value of (-)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 8\alpha9 and 8\beta9 are the roots of 8x^2-6x+5=09, what is the sum of 8\alpha+39 and 8\beta+39?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 2 is subtracted from each root of the equation \(x^2-6x-16=0\), what is the product of the resulting roots?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 the difference between the roots of x² - 7x + q = 0 is 1, what is the value of q?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of x² + px + 25 = 0 are equal and both negative, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium 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 roots of x² − (a+2)x + 2a = 0 are 2 and a, which reason is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium MathematicsHow many real roots does the equation \(x^2+4x+13=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the equation \(kx^2-8x+16=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the two roots of the quadratic equation \(x^2-6x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard 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 equation \(x^2+px+q=0\) are \(-3\) and \(-4\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the roots of (x^2-(m+3)x+18=0) are (3) and (6), what is the value of (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 3 and 5 are the roots of the equation \(ax^2+bx+15=0\), what is the value of \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsWhat is the positive difference between the two roots of (x^2-2kx+(k^2-4)=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf 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 31Hard MathematicsIf the two roots of the equation \(x^2+kx+36=0\) are equal and negative, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard 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