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Real Roots

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

MathematicsWhat is the nature of the roots of the equation \(x^2-9=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsIf the discriminant of a quadratic equation is \(D=25\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhich of the following quadratic equations will have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhat is the nature of the roots of the equation \(x^2-5x+6=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsIf the discriminant (D>0) of a quadratic equation is positive, what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhich expression is used to determine the nature of the roots of the quadratic equation \(ax^2+bx+c=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsWhat is the correct statement about the real roots of x² + 36 = 0?Class 10Quadratic EquationsNature of RootsLevel 36Easy MathematicsWhat is the correct condition on \(a\) for the quadratic equation \(9x^2-6(a-1)x+a^2-4a-5=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsFor (9x^2-6(a-1)x+a^2-4a-5=0) to have real roots, what is the correct condition on (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsFor (16x^2-8(a-2)x+a^2-6a=0) to have real roots, what is the correct condition on (a)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf (kx^2-12x+k=0) has real reciprocal roots, what is the correct condition on (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Expert MathematicsIf the equation \(x^2-2mx+(m^2-m)=0\) has real roots, what is the correct condition on \(m\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsFor the quadratic equation \(9x^2-6(a+1)x+a^2-3a=0\) to have real roots, which condition on \(a\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsIf (kx^2-10x+k=0) has real reciprocal roots, which condition on (k) is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32Expert MathematicsFor the equation \(4x^2-4(a-1)x+a^2-4a=0\) to have real roots, what is the correct condition on \(a\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsIf the roots of (kx^2-8x+k=0) are real and reciprocal, what is the correct condition on (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Expert MathematicsFor 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 33Hard MathematicsIf the roots of (x^2-4x+k=0) are real and reciprocal, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33Hard MathematicsFor (kx^2+6x+9=0) to have real roots with (k\ne0), which condition on (k) is correct?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