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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।

MathematicsFor the quadratic equation \\(4x^2-9x+q=0\\) to have two real and equal roots, what should be the value of \\(q\\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsFor which values of \(k\) will the quadratic equation \(x^2-2(k-5)x+36=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsFor a quadratic equation with rational coefficients, if the discriminant is \(\Delta=144\), which statement correctly describes the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of the equation \(2x^2-7x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of the equation \\(10x^2-19x+6=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of the equation \(3x^2+x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf \(a\ne0\), what is the condition for the quadratic equation \(ax^2+bx+c=0\) to have two equal real roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of the equation \(12x^2-12x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the correct conclusion about the nature of the roots of \(7x^2+3x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of the equation \\(8x^2+2x-3=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsAssertion: x²−6x+11=0 has real and irrational roots. Reason: Its D=-8. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsAssertion: 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 39MediumMathematicsA 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 39MediumMathematicsWhich of the following equations has two real, rational and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf 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 39MediumMathematicsIf a quadratic equation has D=-12, which statement is correct regarding its graph?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf a quadratic equation with rational coefficients has discriminant \(\Delta=27\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsIf 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 39MediumMathematicsFor which interval of \(k\) does the equation \(x^2+(k+2)x+9=0\) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsFor the equation \(x^2-2(k+4)x+25=0\) to have equal roots, what are the values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium