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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।

MathematicsWhat is the nature of the roots of \\(8x^2-4\sqrt{10}x+5=0\\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsIf \(a<0\), \(c<0\), and \(b=0\), what is the nature of the roots of the quadratic equation \(ax^2+c=0\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsIf \(a<0\), \(c>0\), 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 39ExpertMathematicsIf \(a\) and \(b\) are real numbers, which condition is necessary and sufficient for the equation \(x^2-2(a-2b)x+(a+2b)^2=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsIf \(a\) and \(b\) are real numbers and the roots of \(x^2-2(a+b)x+3ab=0\) are real, which statement about \(a\) and \(b\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsWhat is the correct condition on \(v\) for the equation \(x^2+2(v+2)x+(4v+11)=0\) to have no real 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 39HardMathematicsFor the quadratic equation \(x^2-(u+6)x+6u=0\) to have equal roots, what must be the value of \(u\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsWhich 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 39ExpertMathematicsIf x² − 2(k − 4)x + (k² − 10k + 27) = 0 has no real roots, which condition on k is correct?Class 10Quadratic EquationsNature of RootsLevel 39HardMathematicsFor a quadratic equation \(ax^2+bx+c=0\) with real coefficients, where \(a\ne0\), which condition identifies that its roots have opposite signs?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsWhat is the nature of the roots of the equation \(3x^2-2\sqrt{21}x+7=0\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsChoose the correct conclusion about the nature of the roots of \(2x^2-5\sqrt{2}x+8=0\).Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsWhat is the nature of the roots of the equation \(6x^2-4\sqrt{6}x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 39ExpertMathematicsIf D = b² − 4ac is positive but not a perfect square, what is the most accurate nature of the roots of ax² + bx + c = 0?Class 10Quadratic EquationsNature of RootsLevel 39MediumMathematicsWhat is the nature of the roots of \(x^2-2(1+\sqrt{5})x+(6+2\sqrt{5})=0\)?Class 10Quadratic EquationsNature of RootsLevel 38ExpertMathematicsIf the discriminant of a quadratic equation is ( D=-(p-1)^2 ) and ( p\ne 1 ), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38ExpertMathematicsFor which values of \(k\) will the quadratic equation \(x^2-2(k+1)x+(k^2+1)=0\) have two distinct real roots?Class 10Quadratic EquationsNature of RootsLevel 38ExpertMathematicsIf the equation \(x^2-2(a+2)x+(a^2+6a+8)=0\) has no real roots, which condition on \(a\) is correct?Class 10Quadratic EquationsNature of RootsLevel 38Expert