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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 the quadratic equation \(2x^2+\lambda x+8=0\) has equal roots, what can be the values of \(\lambda\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhich statement is correct about the roots of the equation \(5x^2-2x+1=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf the quadratic equation \(x^2+2(k-1)x+k+5=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsWhat is the correct condition on \(a\) for the equation \(x^2-2(a+1)x+a^2+3=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsIf 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 33Hard MathematicsWhich quadratic equation has real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the two roots of the equation \(x^2-2(m+2)x+(m+2)^2=0\) are equal, which statement about \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf the quadratic equation \(x^2-4x+(m+4)=0\) has no real roots, which condition on \(m\) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Hard MathematicsIf α and β are roots of x² + 4x − 21 = 0, what is the value of |α − β|?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Medium 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 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 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 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 MathematicsWhich of the following quadratic equations has real and distinct roots that are irrational?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 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 MathematicsFor the quadratic equation \(ax^2+bx+c=0\) with integer coefficients, where \(a\ne0\), which condition ensures that both roots are distinct real irrational numbers? Here, the discriminant is \(\Delta=b^2-4ac\).Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Hard