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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।

MathematicsA student writes D=16 for x²−2(k−2)x+k²=0. What is the correct discriminant D?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The graph of the quadratic equation \(2x^2-4x+7=0\) does not intersect the \(x\)-axis. Reason: The discriminant of this equation is \(D=-40\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsAssertion: In the equation \(x^2-2(a-b)x+(a+b)^2=0\), if \(ab<0\), its roots are real and distinct. Reason: The discriminant of this equation is \(D=-16ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf \(x^2-2px+(p^2+16)=0\), what will be the nature of its roots for any real value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² − 2px + (p² − 25) = 0, what is the nature of the roots for any real value of p?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhich of the following quadratic equations has one positive root and one negative root?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor equal roots in (2x^2-2(3k-1)x+(k+1)^2=0), what are the values of (k)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the roots of the equation \(x^2+2(m-4)x+(m^2-7m+14)=0\) are real, which condition on \(m\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the roots of the equation \(x^2+2(m-4)x+(m^2-7m+14)=0\) are equal, what is the value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsThe equation \(x^2-2(3t+1)x+(5t^2+2t+4)=0\) has no real roots. What is the correct interval for \(t\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf (\alpha\neq-2) in ((\alpha+2)x^2-2\alpha x+(\alpha-1)=0), what is the condition on (\alpha) for real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor which values of \(\mu\) will the roots of the quadratic equation \(x^2-2\mu x+2\mu=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the equation \(x^2-2\mu x+2\mu=0\) has two real and distinct roots, which condition on \(\mu\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhich option is correct about the roots of 2x² − 3√2 x + 7 = 0?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \\(7x^2-2\\sqrt{21}x+3=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf \(a>0\), \(c<0\), and \(b\) is any real number, what will be the nature of the roots of the quadratic equation \(ax^2+bx+c=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf a and b are real numbers, which is the correct condition for the equation \(x^2-2(a-b)x+(a+b)^2=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf (x^2-2(a+b)x+2ab=0) has real roots, which statement is always true for (a) and (b)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the correct condition on \(t\) for the equation \(x^2+2(t+1)x+(3t+7)=0\) to have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² + 2(t + 1)x + (3t + 7) = 0 has no real roots, in which interval will t lie?Class 10Quadratic EquationsNature of RootsLevel 38Hard