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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।

MathematicsWhich quadratic equation has real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf 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 32HardMathematicsHow many real roots does the equation \(x^2+4x+13=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32HardMathematicsIf 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 32HardMathematicsIf 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 31HardMathematicsFor 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 31HardMathematicsIf the roots of the quadratic equation \(x^2-4x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31HardMathematicsWhat is the necessary and sufficient condition on \(k\) for the equation \(x^2+6x+k=0\) to have real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhat condition must the discriminant of a quadratic equation satisfy for it to have two real and equal roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsWhich of the following quadratic equations has two distinct real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33MediumMathematicsFor the quadratic equation \(x^2+4x+k=0\) to have real roots, which condition on \(k\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the condition for the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), to have two equal real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhich statement correctly describes the real roots of the equation \(x^2-4x+13=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsWhat is the discriminant \(D\) of the equation \(3x^2-6x+3=0\)?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32MediumMathematicsIf the discriminant of a quadratic equation is \(D=b^2-4ac\) and \(D<0\), how many real roots does the equation have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsFor the equation \(x^2+2x+k=0\) to have real roots, which condition on \(k\) is necessary?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31MediumMathematicsWhich of the following statements about the equation \(x^2-100=0\) is incorrect?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsUnder which condition does a quadratic equation have two distinct real roots?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 33EasyMathematicsHow many real roots does the equation \(x^2+16=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 32EasyMathematicsHow many real roots does the equation \(x^2+4=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Easy