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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 roots of (x^2-2(m+1)x+(m^2+2m+1)=0) are equal, what is true for (m)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the two roots of the quadratic equation \(x^2-2(m+1)x+(m^2+2m)=0\) are equal, what is the value of \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the equation \(x^2-2x+(m+1)=0\) has no real roots, which condition on \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the product of roots of (3x^2-2x+k=0) equals the sum of roots, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of x² + px + 12 = 0 are in the ratio 1:3 and both are negative, what is p?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of (x^2-6x+c=0) are in the ratio (1:2), what is the value of (c)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the sum of roots is (4) and the sum of their squares is (20), what is the product of roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-10x+25=0\), what is the value of \(\alpha-\beta\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf 1 is subtracted from each root of the equation \(x^2-4x-12=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf each root of (x^2-4x-12=0) is increased by (1), which monic equation is formed from the new roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is (\alpha^2+\beta^2) equal to?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 MathematicsIf one root of (x^2+ax+a=0) is (1), what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of (x^2+px+16=0) are equal and both negative, what is the value of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (2x^2-5x+2=0), what is the value of (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-3x-10=0), what is the value of (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf (\alpha) and (\beta) are roots of (x^2-6x+8=0), what is the value of ((\alpha+1)(\beta+1))?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the roots of x² − (a + 1)x + a = 0 are 1 and a, why is this correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsHow many real roots does the equation \(x^2+2x+5=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard MathematicsIf the quadratic equation \(kx^2-6x+9=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard