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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 quadratic equation \(x^2+2(m-5)x+(m^2-9m+24)=0\) has equal roots, what is the value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsFor which values of \(\theta\) does the quadratic equation \(x^2-2\theta x+3\theta=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsFor the equation \((q+3)x^2-2(q-2)x+q=0\), what is the value of \(q\) for which the roots are equal, given that \(q\ne -3\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsIf p ≠ 2 in (p − 2)x² − 2(p + 2)x + (p + 6) = 0, what is the condition on p for real roots?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsWhich condition is required for the equation \(x^2-(t+7)x+7t=0\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsFor equal roots in (2x^2-2(3k-1)x+(k+1)^2=0), what are the values of (k)?Class 10Quadratic EquationsNature of RootsLevel 38ExpertMathematicsIf 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 38ExpertMathematicsFor 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 38ExpertMathematicsIn (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 38HardMathematicsIf 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 38HardMathematicsFor 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 38ExpertMathematicsFor 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 38ExpertMathematicsIf 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 38HardMathematicsIf a quadratic has discriminant D = 25 - 4q², what are the values of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 37MediumMathematicsFor the quadratic equation \(3x^2-2(2k+1)x+(k+1)^2=0\) to have equal roots, what are the values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37ExpertMathematicsIf \\(x^2+2(m-2)x+(m^2-3m+4)=0\\) has equal roots, what is the value of \\(m\\)?Class 10Quadratic EquationsNature of RootsLevel 37ExpertMathematicsWhich condition is correct for real roots of ((k-2)x^2+2kx+(k+3)=0), if (k\neq2)?Class 10Quadratic EquationsNature of RootsLevel 37ExpertMathematicsIf \(k\neq 0\) and \(kx^2-2(k+1)x+(k+3)=0\) is a quadratic equation, what must be the value of \(k\) for it to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37ExpertMathematicsFor which value of \(k\) will the two roots of the quadratic equation \(2x^2-(k+4)x+2k=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 37ExpertMathematicsIf the roots of the quadratic equation \(3x^2-2kx+27=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 39Hard