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Nature Of Roots

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

MathematicsAssertion: x²−6x+11=0 has real and irrational roots. Reason: Its D=-8. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsAssertion: The quadratic equation \(7x^2-14x+7=0\) has equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsA student writes \(D=49\) for the quadratic equation \(2x^2-3x+5=0\). What is the correct value of the discriminant \(D\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich of the following equations has two real, rational and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the parabola of a quadratic equation with rational coefficients cuts the x-axis at two distinct points and its discriminant \(D\) is not a perfect square, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf a quadratic equation has D=-12, which statement is correct regarding its graph?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf a quadratic equation with rational coefficients has discriminant \(\Delta=27\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the equation \\(3x^2+(k-2)x+4=0\\) has two distinct real roots, which condition on \\(k\\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor which interval of \(k\) does the equation \(x^2+(k+2)x+9=0\) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the roots of the quadratic equation \(3x^2-4x+p=0\) are real, which condition on \(p\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat condition on \(k\) is necessary for the equation \(x^2+6x+k=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich condition on \(k\) is required for the equation \(x^2-16x+k=0\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf the two roots of the equation \(x^2+kx+36=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf (x^2-14x+k=0) has equal roots, what is the value of (k)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \\(6x^2-13x+6=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhich statement correctly describes the nature of the roots of the quadratic equation \(5x^2+x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsChoose the correct statement about the nature and value of the roots of \\(16x^2+24x+9=0\\).Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(3x^2-2x-2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(x^2+11x+31=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(4x^2+7x-2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium