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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।

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 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 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 MathematicsFor the equation \\((q+2)x^2-2(q-1)x+q=0\\), which value of \\(q\\) gives equal roots, given that \\(q\\ne-2\\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIn (q + 2)x² − 2(q − 1)x + q = 0, with q ≠ −2, what is the value of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf p ≠ 1 in (p − 1)x² − 2(p + 1)x + (p + 3) = 0, what is the condition on p for real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor the quadratic equation \(x^2-(s+4)x+4s=0\), what must be the value of \(s\) for its roots to be equal?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor the equation \(x^2-(r+5)x+5r=0\) to have two real and distinct roots, which of the following conditions is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² − 2(k − 3)x + (k² − 8k + 20) = 0 has no real roots, what is the correct condition on k?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the roots of the equation \(x^2-2(k+2)x+(k^2+3k+7)=0\) are real, which condition on \(k\) is necessary?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the nature of the roots of the equation \\(5x^2-2\\sqrt{30}x+6=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsChoose the correct conclusion about the nature of the roots of the equation \(3x^2-4\sqrt{3}x+5=0\).Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the nature of the roots of the quadratic equation \(2x^2-6\sqrt{2}x+9=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert