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Quadratic Equations

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 \(px^2-18x+9=0\) has equal roots and \(p\neq 0\), what is the value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium 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 39Medium MathematicsWhich condition is correct for real roots in (2x^2+(2k+1)x+5=0)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor which values of \(k\) will the quadratic equation \(x^2-2(k-5)x+36=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsFor 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 39Medium MathematicsIf (D_1=64), (D_2=15), (D_3=0), and (D_4=-9), which one gives irrational distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(2x^2-7x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \\(10x^2-19x+6=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(3x^2+x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsIf \(a\ne0\), what is the condition for the quadratic equation \(ax^2+bx+c=0\) to have two equal real roots?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \(12x^2-12x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the correct conclusion about the nature of the roots of \(7x^2+3x+2=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium MathematicsWhat is the nature of the roots of the equation \\(8x^2+2x-3=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39Medium 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